Implicit functions from topological vector spaces to Banach spaces
Identifieur interne : 002290 ( Istex/Corpus ); précédent : 002289; suivant : 002291Implicit functions from topological vector spaces to Banach spaces
Auteurs : Helge GlöcknerSource :
- Israel Journal of Mathematics [ 0021-2172 ] ; 2006-12-01.
Abstract
Abstract: We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.
Url:
DOI: 10.1007/BF02773955
Links to Exploration step
ISTEX:AA01A92C7CBF2868D594F9E565A6938F9E57EC5BLe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Implicit functions from topological vector spaces to Banach spaces</title>
<author><name sortKey="Glockner, Helge" sort="Glockner, Helge" uniqKey="Glockner H" first="Helge" last="Glöckner">Helge Glöckner</name>
<affiliation><mods:affiliation>TU Darmstadt, FB Mathematik AG 5, Schlossgartenstr. 7, 64289, Darmstadt, Germany</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: gloeckner@mathematik.tu-darmstadt.de</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:AA01A92C7CBF2868D594F9E565A6938F9E57EC5B</idno>
<date when="2006" year="2006">2006</date>
<idno type="doi">10.1007/BF02773955</idno>
<idno type="url">https://api.istex.fr/document/AA01A92C7CBF2868D594F9E565A6938F9E57EC5B/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002290</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002290</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Implicit functions from topological vector spaces to Banach spaces</title>
<author><name sortKey="Glockner, Helge" sort="Glockner, Helge" uniqKey="Glockner H" first="Helge" last="Glöckner">Helge Glöckner</name>
<affiliation><mods:affiliation>TU Darmstadt, FB Mathematik AG 5, Schlossgartenstr. 7, 64289, Darmstadt, Germany</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: gloeckner@mathematik.tu-darmstadt.de</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Israel Journal of Mathematics</title>
<title level="j" type="abbrev">Isr. J. Math.</title>
<idno type="ISSN">0021-2172</idno>
<idno type="eISSN">1565-8511</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="2006-12-01">2006-12-01</date>
<biblScope unit="volume">155</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="205">205</biblScope>
<biblScope unit="page" to="252">252</biblScope>
</imprint>
<idno type="ISSN">0021-2172</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0021-2172</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.</div>
</front>
</TEI>
<istex><corpusName>springer-journals</corpusName>
<author><json:item><name>Helge Glöckner</name>
<affiliations><json:string>TU Darmstadt, FB Mathematik AG 5, Schlossgartenstr. 7, 64289, Darmstadt, Germany</json:string>
<json:string>E-mail: gloeckner@mathematik.tu-darmstadt.de</json:string>
</affiliations>
</json:item>
</author>
<articleId><json:string>BF02773955</json:string>
<json:string>Art9</json:string>
</articleId>
<arkIstex>ark:/67375/VQC-R3RGL9TT-R</arkIstex>
<language><json:string>eng</json:string>
</language>
<originalGenre><json:string>OriginalPaper</json:string>
</originalGenre>
<abstract>Abstract: We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.</abstract>
<qualityIndicators><refBibsNative>false</refBibsNative>
<abstractWordCount>40</abstractWordCount>
<abstractCharCount>280</abstractCharCount>
<keywordCount>0</keywordCount>
<score>7.48</score>
<pdfWordCount>20020</pdfWordCount>
<pdfCharCount>79509</pdfCharCount>
<pdfVersion>1.3</pdfVersion>
<pdfPageCount>48</pdfPageCount>
<pdfPageSize>461 x 666 pts</pdfPageSize>
</qualityIndicators>
<title>Implicit functions from topological vector spaces to Banach spaces</title>
<genre><json:string>research-article</json:string>
</genre>
<host><title>Israel Journal of Mathematics</title>
<language><json:string>unknown</json:string>
</language>
<publicationDate>2006</publicationDate>
<copyrightDate>2006</copyrightDate>
<issn><json:string>0021-2172</json:string>
</issn>
<eissn><json:string>1565-8511</json:string>
</eissn>
<journalId><json:string>11856</json:string>
</journalId>
<volume>155</volume>
<issue>1</issue>
<pages><first>205</first>
<last>252</last>
</pages>
<genre><json:string>journal</json:string>
</genre>
<subject><json:item><value>Mathematics</value>
</json:item>
<json:item><value>Mathematics, general</value>
</json:item>
<json:item><value>Algebra</value>
</json:item>
<json:item><value>Group Theory and Generalizations</value>
</json:item>
<json:item><value>Analysis</value>
</json:item>
<json:item><value>Applications of Mathematics</value>
</json:item>
<json:item><value>Mathematical and Computational Physics</value>
</json:item>
</subject>
</host>
<ark><json:string>ark:/67375/VQC-R3RGL9TT-R</json:string>
</ark>
<publicationDate>2006</publicationDate>
<copyrightDate>2006</copyrightDate>
<doi><json:string>10.1007/BF02773955</json:string>
</doi>
<id>AA01A92C7CBF2868D594F9E565A6938F9E57EC5B</id>
<score>1</score>
<fulltext><json:item><extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/document/AA01A92C7CBF2868D594F9E565A6938F9E57EC5B/fulltext/pdf</uri>
</json:item>
<json:item><extension>zip</extension>
<original>false</original>
<mimetype>application/zip</mimetype>
<uri>https://api.istex.fr/document/AA01A92C7CBF2868D594F9E565A6938F9E57EC5B/fulltext/zip</uri>
</json:item>
<json:item><extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/document/AA01A92C7CBF2868D594F9E565A6938F9E57EC5B/fulltext/txt</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/document/AA01A92C7CBF2868D594F9E565A6938F9E57EC5B/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Implicit functions from topological vector spaces to Banach spaces</title>
<respStmt><resp>Références bibliographiques récupérées via GROBID</resp>
<name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name>
</respStmt>
</titleStmt>
<publicationStmt><authority>ISTEX</authority>
<publisher scheme="https://publisher-list.data.istex.fr">Springer-Verlag</publisher>
<pubPlace>New York</pubPlace>
<availability><licence><p>Hebrew University, 2006</p>
</licence>
<p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</p>
</availability>
<date>2005-03-17</date>
</publicationStmt>
<notesStmt><note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note>
<note type="journal" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</note>
</notesStmt>
<sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Implicit functions from topological vector spaces to Banach spaces</title>
<author xml:id="author-0000"><persName><forename type="first">Helge</forename>
<surname>Glöckner</surname>
</persName>
<email>gloeckner@mathematik.tu-darmstadt.de</email>
<affiliation>TU Darmstadt, FB Mathematik AG 5, Schlossgartenstr. 7, 64289, Darmstadt, Germany</affiliation>
</author>
<idno type="istex">AA01A92C7CBF2868D594F9E565A6938F9E57EC5B</idno>
<idno type="ark">ark:/67375/VQC-R3RGL9TT-R</idno>
<idno type="DOI">10.1007/BF02773955</idno>
<idno type="article-id">BF02773955</idno>
<idno type="article-id">Art9</idno>
</analytic>
<monogr><title level="j">Israel Journal of Mathematics</title>
<title level="j" type="abbrev">Isr. J. Math.</title>
<idno type="pISSN">0021-2172</idno>
<idno type="eISSN">1565-8511</idno>
<idno type="journal-ID">true</idno>
<idno type="issue-article-count">14</idno>
<idno type="volume-issue-count">0</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="2006-12-01"></date>
<biblScope unit="volume">155</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="205">205</biblScope>
<biblScope unit="page" to="252">252</biblScope>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><creation><date>2005-03-17</date>
</creation>
<langUsage><language ident="en">en</language>
</langUsage>
<abstract xml:lang="en"><p>Abstract: We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.</p>
</abstract>
<textClass><keywords scheme="Journal-Subject-Group"><list><label>M</label>
<label>M00009</label>
<label>M11000</label>
<label>M11078</label>
<label>M12007</label>
<label>M13003</label>
<label>P19005</label>
<item><term>Mathematics</term>
</item>
<item><term>Mathematics, general</term>
</item>
<item><term>Algebra</term>
</item>
<item><term>Group Theory and Generalizations</term>
</item>
<item><term>Analysis</term>
</item>
<item><term>Applications of Mathematics</term>
</item>
<item><term>Mathematical and Computational Physics</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="2005-03-17">Created</change>
<change when="2006-12-01">Published</change>
<change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-12-2">References added</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
</fulltext>
<metadata><istex:metadataXml wicri:clean="corpus springer-journals not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType>
<istex:document><Publisher><PublisherInfo><PublisherName>Springer-Verlag</PublisherName>
<PublisherLocation>New York</PublisherLocation>
</PublisherInfo>
<Journal><JournalInfo JournalProductType="ArchiveJournal" NumberingStyle="Unnumbered"><JournalID>11856</JournalID>
<JournalPrintISSN>0021-2172</JournalPrintISSN>
<JournalElectronicISSN>1565-8511</JournalElectronicISSN>
<JournalTitle>Israel Journal of Mathematics</JournalTitle>
<JournalAbbreviatedTitle>Isr. J. Math.</JournalAbbreviatedTitle>
<JournalSubjectGroup><JournalSubject Code="M" Type="Primary">Mathematics</JournalSubject>
<JournalSubject Code="M00009" Priority="1" Type="Secondary">Mathematics, general</JournalSubject>
<JournalSubject Code="M11000" Priority="2" Type="Secondary">Algebra</JournalSubject>
<JournalSubject Code="M11078" Priority="3" Type="Secondary">Group Theory and Generalizations</JournalSubject>
<JournalSubject Code="M12007" Priority="4" Type="Secondary">Analysis</JournalSubject>
<JournalSubject Code="M13003" Priority="5" Type="Secondary">Applications of Mathematics</JournalSubject>
<JournalSubject Code="P19005" Priority="6" Type="Secondary">Mathematical and Computational Physics</JournalSubject>
</JournalSubjectGroup>
</JournalInfo>
<Volume><VolumeInfo TocLevels="0" VolumeType="Regular"><VolumeIDStart>155</VolumeIDStart>
<VolumeIDEnd>155</VolumeIDEnd>
<VolumeIssueCount>0</VolumeIssueCount>
</VolumeInfo>
<Issue IssueType="Regular"><IssueInfo TocLevels="0"><IssueIDStart>1</IssueIDStart>
<IssueIDEnd>1</IssueIDEnd>
<IssueArticleCount>14</IssueArticleCount>
<IssueHistory><CoverDate><Year>2006</Year>
<Month>12</Month>
</CoverDate>
</IssueHistory>
<IssueCopyright><CopyrightHolderName>Hebrew University</CopyrightHolderName>
<CopyrightYear>2006</CopyrightYear>
</IssueCopyright>
</IssueInfo>
<Article ID="Art9"><ArticleInfo ArticleType="OriginalPaper" ContainsESM="No" Language="En" NumberingStyle="Unnumbered" TocLevels="0"><ArticleID>BF02773955</ArticleID>
<ArticleDOI>10.1007/BF02773955</ArticleDOI>
<ArticleSequenceNumber>9</ArticleSequenceNumber>
<ArticleTitle Language="En">Implicit functions from topological vector spaces to Banach spaces</ArticleTitle>
<ArticleFirstPage>205</ArticleFirstPage>
<ArticleLastPage>252</ArticleLastPage>
<ArticleHistory><RegistrationDate><Year>2007</Year>
<Month>12</Month>
<Day>4</Day>
</RegistrationDate>
<Received><Year>2005</Year>
<Month>3</Month>
<Day>17</Day>
</Received>
</ArticleHistory>
<ArticleCopyright><CopyrightHolderName>Hebrew University</CopyrightHolderName>
<CopyrightYear>2006</CopyrightYear>
</ArticleCopyright>
<ArticleGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant>
<AbstractGrant Grant="OpenAccess"></AbstractGrant>
<BodyPDFGrant Grant="Restricted"></BodyPDFGrant>
<BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant>
<BibliographyGrant Grant="Restricted"></BibliographyGrant>
<ESMGrant Grant="Restricted"></ESMGrant>
</ArticleGrants>
<ArticleContext><JournalID>11856</JournalID>
<VolumeIDStart>155</VolumeIDStart>
<VolumeIDEnd>155</VolumeIDEnd>
<IssueIDStart>1</IssueIDStart>
<IssueIDEnd>1</IssueIDEnd>
</ArticleContext>
</ArticleInfo>
<ArticleHeader><AuthorGroup><Author AffiliationIDS="Aff1"><AuthorName DisplayOrder="Western"><GivenName>Helge</GivenName>
<FamilyName>Glöckner</FamilyName>
</AuthorName>
<Contact><Email>gloeckner@mathematik.tu-darmstadt.de</Email>
</Contact>
</Author>
<Affiliation ID="Aff1"><OrgDivision>TU Darmstadt</OrgDivision>
<OrgName>FB Mathematik AG 5</OrgName>
<OrgAddress><Street>Schlossgartenstr. 7</Street>
<Postcode>64289</Postcode>
<City>Darmstadt</City>
<Country Code="DE">Germany</Country>
</OrgAddress>
</Affiliation>
</AuthorGroup>
<Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading>
<Para>We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.</Para>
</Abstract>
</ArticleHeader>
<NoBody></NoBody>
</Article>
</Issue>
</Volume>
</Journal>
</Publisher>
</istex:document>
</istex:metadataXml>
<mods version="3.6"><titleInfo lang="en"><title>Implicit functions from topological vector spaces to Banach spaces</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA" lang="en"><title>Implicit functions from topological vector spaces to Banach spaces</title>
</titleInfo>
<name type="personal"><namePart type="given">Helge</namePart>
<namePart type="family">Glöckner</namePart>
<affiliation>TU Darmstadt, FB Mathematik AG 5, Schlossgartenstr. 7, 64289, Darmstadt, Germany</affiliation>
<affiliation>E-mail: gloeckner@mathematik.tu-darmstadt.de</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre>
<originInfo><publisher>Springer-Verlag</publisher>
<place><placeTerm type="text">New York</placeTerm>
</place>
<dateCreated encoding="w3cdtf">2005-03-17</dateCreated>
<dateIssued encoding="w3cdtf">2006-12-01</dateIssued>
<dateIssued encoding="w3cdtf">2006</dateIssued>
<copyrightDate encoding="w3cdtf">2006</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<abstract lang="en">Abstract: We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.</abstract>
<relatedItem type="host"><titleInfo><title>Israel Journal of Mathematics</title>
</titleInfo>
<titleInfo type="abbreviated"><title>Isr. J. Math.</title>
</titleInfo>
<genre type="journal" displayLabel="Archive Journal" authority="ISTEX" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre>
<originInfo><publisher>Springer</publisher>
<dateIssued encoding="w3cdtf">2006-12-01</dateIssued>
<copyrightDate encoding="w3cdtf">2006</copyrightDate>
</originInfo>
<subject><genre>Journal-Subject-Group</genre>
<topic authority="SpringerSubjectCodes" authorityURI="M">Mathematics</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M00009">Mathematics, general</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M11000">Algebra</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M11078">Group Theory and Generalizations</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M12007">Analysis</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M13003">Applications of Mathematics</topic>
<topic authority="SpringerSubjectCodes" authorityURI="P19005">Mathematical and Computational Physics</topic>
</subject>
<identifier type="ISSN">0021-2172</identifier>
<identifier type="eISSN">1565-8511</identifier>
<identifier type="JournalID">11856</identifier>
<identifier type="IssueArticleCount">14</identifier>
<identifier type="VolumeIssueCount">0</identifier>
<part><date>2006</date>
<detail type="volume"><number>155</number>
<caption>vol.</caption>
</detail>
<detail type="issue"><number>1</number>
<caption>no.</caption>
</detail>
<extent unit="pages"><start>205</start>
<end>252</end>
</extent>
</part>
<recordInfo><recordOrigin>Hebrew University, 2006</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">AA01A92C7CBF2868D594F9E565A6938F9E57EC5B</identifier>
<identifier type="ark">ark:/67375/VQC-R3RGL9TT-R</identifier>
<identifier type="DOI">10.1007/BF02773955</identifier>
<identifier type="ArticleID">BF02773955</identifier>
<identifier type="ArticleID">Art9</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Hebrew University, 2006</accessCondition>
<recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource>
<recordOrigin>Hebrew University, 2006</recordOrigin>
</recordInfo>
</mods>
<json:item><extension>json</extension>
<original>false</original>
<mimetype>application/json</mimetype>
<uri>https://api.istex.fr/document/AA01A92C7CBF2868D594F9E565A6938F9E57EC5B/metadata/json</uri>
</json:item>
</metadata>
<serie></serie>
</istex>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002290 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 002290 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Istex |étape= Corpus |type= RBID |clé= ISTEX:AA01A92C7CBF2868D594F9E565A6938F9E57EC5B |texte= Implicit functions from topological vector spaces to Banach spaces }}
![]() | This area was generated with Dilib version V0.6.33. | ![]() |