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
β¦ LIBER β¦
On equivalent bases in Banach spaces
β Scribed by B. T. Bilalov; T. R. Muradov
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 70 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0041-5995
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