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Connection Between Strong and Norming Markushevich Bases in Non-Separable Banach Spaces

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  21 December 2009

G. Alexandrov  and
A. Plichko
G. Alexandrov
Affiliation:
Department of Mathematics and Informatics, University of Sofia, 5, J. Bourchier Blvd., 1164 Sofia, Bulgaria. E-mail: galex@fmi.uni-sofia.bg
A. Plichko
Affiliation:
Department of Mathematics, Cracow University of Technology, ul. Warszawska 24, Cracow 31–155, Poland. E-mail: aplichko@usk.pk.edu.pl
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Abstract

It is shown that every Banach space with a norming Markushevich basis has a strong Markushevich basis. It is also shown that the converse is false.

MSC classification

Secondary: 46B26: Nonseparable Banach spaces 46B15: Summability and bases
Type
Research Article
Information
Mathematika , Volume 53 , Issue 2 , December 2006 , pp. 321 - 328
Copyright
Copyright © University College London 2006

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