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ToolsBartoszynski, 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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Abstract
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 (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) |
| Depositing User: | Vishal Gautam |
| Date Deposited: | 18 Mar 2011 10:19 |
| Last Modified: | 22 Apr 2025 00:00 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/19953 |
| DOI: | 10.4064/sm170-2-3 |
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