Home
Existence of strong M-bases in nonseparable Banach spaces
Author: Diana Stoeva
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.
Annotation in PDF format:
(PDF document
37Kb)
(PDF document
37Kb)
Keywords: strong M-basis, resolution of identity, WLD-, WCD-, WCG-space, compact of Valdivia, of Eberlein, of Gulko, of Corson
2000 MSC:
46B26
