EXISTENCE OF STRONG M-BASES IN NONSEPARABLE BANACH SPACES

TitleEXISTENCE OF STRONG M-BASES IN NONSEPARABLE BANACH SPACES
Publication TypeJournal Article
Year of Publication2004
AuthorsStoeva D
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume96
Keywordscompact of Valdivia, of Corson, of Eberlein, of Gulko, resolution of identity, strong M-basis, WCD-, WCG-space, WLD-
Abstract

In the paper the important question on existence of strong M-bases is considered. A new kind resolution of identity is introduced. Based on this resolution, necessary and sufficient conditions for existence of strong M-bases are determined. As a consequence, the existence of strong M-bases in certain Banach spaces is shown.

2000 MSC

46B26

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