EXISTENCE OF STRONG M-BASES IN NONSEPARABLE BANACH SPACES
Keywords:
compact 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.
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Published
2004-12-12
How to Cite
Stoeva, D. (2004). EXISTENCE OF STRONG M-BASES IN NONSEPARABLE BANACH SPACES. Ann. Sofia Univ. Fac. Math. And Inf., 96, 155–161. Retrieved from https://ftl5.uni-sofia.bg./index.php/fmi/article/view/169
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