Article ID Journal Published Year Pages File Type
4591129 Journal of Functional Analysis 2012 5 Pages PDF
Abstract

Using the theory of liftings, we give simple new proofs of the characterizations of the relatively weakly compact subsets and weak Cauchy sequences of L∞(E). Also a different proof, of a deep result of J. Diestel, W. Ruess, W. Schachermayer about weak compactness in L1(E), is given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory