Dense subspaces of quasinormable spaces
Identifieur interne : 000D31 ( Istex/Curation ); précédent : 000D30; suivant : 000D32Dense subspaces of quasinormable spaces
Auteurs : José Bonet [Espagne] ; Susanne Dierolf [Allemagne] ; Khin Aye Aye [Birmanie]Source :
- Mathematische Nachrichten [ 0025-584X ] ; 2006-05.
English descriptors
Abstract
Dense linear subspaces of quasinormable Fréchet spaces need not be quasinormable, as an example due to J. Bonet and S. Dierolf proved. A characterization of the quasinormability of dense linear subspaces of quasinormable locally convex spaces and several consequences are given. Moreover, an example of a dense linear subspace of a countable direct sum of Banach spaces, which is not quasinormable, is provided. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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DOI: 10.1002/mana.200310386
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Bonet and S. Dierolf proved. A characterization of the quasinormability of dense linear subspaces of quasinormable locally convex spaces and several consequences are given. Moreover, an example of a dense linear subspace of a countable direct sum of Banach spaces, which is not quasinormable, is provided. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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