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More facts about conjugate Banach spaces with the Radon-Nikodym property. (English) Zbl 0830.46012

Summary: Corrected proofs of the following results of [ibid. 32, No. 2, 47-54 (1991; Zbl 0773.46008)] are given: if \(X\) is an Asplund space (resectively, \(X\) is a subspace of a gsg space) and \(K\) is a Corson compact then any operator from \(X\) to \(C(K)\) interpolates through a Banach space \(Y\) such that \(Y\) is both Asplund and hereditarily weakly compactly generated (respectively, \(Y\) is wcg). If \(K\) is a Corson compact, that is the continuous image of a so called Radon-Nikodym compact, then \(K\) is an Eberlein compact.

MSC:

46B22 Radon-Nikodým, Kreĭn-Milman and related properties
46B25 Classical Banach spaces in the general theory

Citations:

Zbl 0773.46008
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