The weak Banach-Saks property on Lp(μ, E)
Published online by Cambridge University Press: 24 October 2008
Extract
A Banach space E is said to have the Banach-Saks property (BS) if every bounded sequence (xn) in E has a subsequence (x′n) with norm convergent Cesaro means; that is, there is x in E such that
If this occurs for every weakly convergent sequence in E it is said that E has the Weak Banach-Saks property (WBS) (also called Banach-Saks-Rosenthal property).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 2 , March 1994 , pp. 283 - 290
- Copyright
- Copyright © Cambridge Philosophical Society 1994
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