EXISTENCE OF STRONG M-BASES IN NONSEPARABLE BANACH SPACES

Authors

  • Diana Stoeva

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