On a Question of Haskell P. Rosenthal Concerning a Characterization of c0 and lp
Identifieur interne : 000045 ( France/Analysis ); précédent : 000044; suivant : 000046On a Question of Haskell P. Rosenthal Concerning a Characterization of c0 and lp
Auteurs : Valentin Ferenczi [France] ; Anna Maria Pelczar [Pologne] ; Christian Rosendal [France]Source :
- Bulletin of the London Mathematical Society [ 0024-6093 ] ; 2004-05.
Abstract
The following property of a normalized basis in a Banach space is considered: any normalized block sequence of the basis has a subsequence equivalent to the basis. Under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of c0 or lp. An analogous problem concerning spreading models is also addressed. 2000 Mathematics Subject Classification 46B20 (primary), 46B15 (secondary).
Url:
DOI: 10.1112/S0024609303003047
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Main, to step Corpus: 000783
- to stream Main, to step Curation: 000783
- to stream Main, to step Exploration: 000312
- to stream France, to step Extraction: 000045
Links to Exploration step
ISTEX:9EF1746F7B801E9C985D2E11DD926C20D3F94DF1Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>On a Question of Haskell P. Rosenthal Concerning a Characterization of c0 and lp</title><author><name sortKey="Ferenczi, Valentin" sort="Ferenczi, Valentin" uniqKey="Ferenczi V" first="Valentin" last="Ferenczi">Valentin Ferenczi</name></author><author><name sortKey="Pelczar, Anna Maria" sort="Pelczar, Anna Maria" uniqKey="Pelczar A" first="Anna Maria" last="Pelczar">Anna Maria Pelczar</name></author><author><name sortKey="Rosendal, Christian" sort="Rosendal, Christian" uniqKey="Rosendal C" first="Christian" last="Rosendal">Christian Rosendal</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:9EF1746F7B801E9C985D2E11DD926C20D3F94DF1</idno><date when="2004" year="2004">2004</date><idno type="doi">10.1112/S0024609303003047</idno><idno type="url">https://api.istex.fr/document/9EF1746F7B801E9C985D2E11DD926C20D3F94DF1/fulltext/pdf</idno><idno type="wicri:Area/Main/Corpus">000783</idno><idno type="wicri:Area/Main/Curation">000783</idno><idno type="wicri:Area/Main/Exploration">000312</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Exploration">000312</idno><idno type="wicri:Area/France/Extraction">000045</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a">On a Question of Haskell P. Rosenthal Concerning a Characterization of c0 and lp</title><author><name sortKey="Ferenczi, Valentin" sort="Ferenczi, Valentin" uniqKey="Ferenczi V" first="Valentin" last="Ferenczi">Valentin Ferenczi</name><affiliation wicri:level="3"><country wicri:rule="url">France</country><wicri:regionArea>Equipe d'Analyse Boite 186, Université Paris 6, 4, place Jussieu, 75252 Paris Cedex 05</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Paris</settlement></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Pelczar, Anna Maria" sort="Pelczar, Anna Maria" uniqKey="Pelczar A" first="Anna Maria" last="Pelczar">Anna Maria Pelczar</name><affiliation wicri:level="1"><country wicri:rule="url">Pologne</country><wicri:regionArea>Institute of Mathematics, Jagiellonian University Reymonta 4, 30-059 Kraków</wicri:regionArea><wicri:noRegion>30-059 Kraków</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Pologne</country></affiliation></author><author><name sortKey="Rosendal, Christian" sort="Rosendal, Christian" uniqKey="Rosendal C" first="Christian" last="Rosendal">Christian Rosendal</name><affiliation wicri:level="3"><country wicri:rule="url">France</country><wicri:regionArea>Equipe d'Analyse Boite 186, Université Paris 6, 4, place Jussieu, 75252 Paris Cedex 05</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Paris</settlement></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation><affiliation wicri:level="3"><country wicri:rule="url">France</country><wicri:regionArea>Mathematics 253-37 Caltech, Pasadena, CA 91125</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author></analytic><monogr></monogr><series><title level="j">Bulletin of the London Mathematical Society</title><idno type="ISSN">0024-6093</idno><idno type="eISSN">1469-2120</idno><imprint><publisher>Oxford University Press</publisher><date type="published" when="2004-05">2004-05</date><biblScope unit="volume">36</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="396">396</biblScope><biblScope unit="page" to="406">406</biblScope></imprint><idno type="ISSN">0024-6093</idno></series><idno type="istex">9EF1746F7B801E9C985D2E11DD926C20D3F94DF1</idno><idno type="DOI">10.1112/S0024609303003047</idno><idno type="ArticleID">36.3.396</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0024-6093</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract">The following property of a normalized basis in a Banach space is considered: any normalized block sequence of the basis has a subsequence equivalent to the basis. Under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of c0 or lp. An analogous problem concerning spreading models is also addressed. 2000 Mathematics Subject Classification 46B20 (primary), 46B15 (secondary).</div></front></TEI><affiliations><list><country><li>France</li><li>Pologne</li></country><region><li>Île-de-France</li></region><settlement><li>Paris</li></settlement></list><tree><country name="France"><region name="Île-de-France"><name sortKey="Ferenczi, Valentin" sort="Ferenczi, Valentin" uniqKey="Ferenczi V" first="Valentin" last="Ferenczi">Valentin Ferenczi</name></region><name sortKey="Ferenczi, Valentin" sort="Ferenczi, Valentin" uniqKey="Ferenczi V" first="Valentin" last="Ferenczi">Valentin Ferenczi</name><name sortKey="Rosendal, Christian" sort="Rosendal, Christian" uniqKey="Rosendal C" first="Christian" last="Rosendal">Christian Rosendal</name><name sortKey="Rosendal, Christian" sort="Rosendal, Christian" uniqKey="Rosendal C" first="Christian" last="Rosendal">Christian Rosendal</name><name sortKey="Rosendal, Christian" sort="Rosendal, Christian" uniqKey="Rosendal C" first="Christian" last="Rosendal">Christian Rosendal</name><name sortKey="Rosendal, Christian" sort="Rosendal, Christian" uniqKey="Rosendal C" first="Christian" last="Rosendal">Christian Rosendal</name></country><country name="Pologne"><noRegion><name sortKey="Pelczar, Anna Maria" sort="Pelczar, Anna Maria" uniqKey="Pelczar A" first="Anna Maria" last="Pelczar">Anna Maria Pelczar</name></noRegion><name sortKey="Pelczar, Anna Maria" sort="Pelczar, Anna Maria" uniqKey="Pelczar A" first="Anna Maria" last="Pelczar">Anna Maria Pelczar</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Amerique/explor/CaltechV1/Data/France/Analysis
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000045 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/France/Analysis/biblio.hfd -nk 000045 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Amerique
|area= CaltechV1
|flux= France
|étape= Analysis
|type= RBID
|clé= ISTEX:9EF1746F7B801E9C985D2E11DD926C20D3F94DF1
|texte= On a Question of Haskell P. Rosenthal Concerning a Characterization of c0 and lp
}}
| This area was generated with Dilib version V0.6.32. |  |