On bases in Banach spaces

Bartoszynski, Tomek, Džamonja, Mirna, Halbeisen, Lorenz, Murtinova, Eva and Plichko, Anatolij (2005) On bases in Banach spaces. Studia Mathematica, 170 (2). pp. 147-171.

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We investigate various kinds of bases in infinite-dimensional Banach spaces. In particular, we consider the complexity of Hamel bases in separable and non-separable Banach spaces and show that in a separable Banach space a Hamel basis cannot be analytic, whereas there are non-separable Hilbert spaces which have a discrete and closed Hamel basis. Further we investigate the existence of certain complete minimal systems in ℓ∞ as well as in separable Banach spaces.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Logic
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 10:19
Last Modified: 15 Dec 2022 13:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/19953
DOI: 10.4064/sm170-2-3


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