On Banach spaces with unconditional bases
β Scribed by Wolfgang Lusky
- Publisher
- The Hebrew University Magnes Press
- Year
- 2004
- Tongue
- English
- Weight
- 484 KB
- Volume
- 143
- Category
- Article
- ISSN
- 0021-2172
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π SIMILAR VOLUMES
We show that a Banach space X has a basis provided there are bounded linear finite rank operators R n : X Γ X such that lim n R n x=x for all x # X, R m R n =R min(m, n) if m{n, and R n &R n&1 factors uniformly through l mn p 's for some p. As an application we obtain conditions on a subset 4/Z such
## Abstract In the present paper we give conditions for Banach spaces of absolutely __p__βsumming operators to have unconditional bases. In this case we obtain methods to estimate the Ο~__p__~βnorm. Also we consider spaces of absolutely __p__βsumming operators with βbadβ structure, i.e., without lo