Titlebook: Sequences and Series in Banach Spaces; Joseph Diestel Textbook 1984 Springer-Verlag New York, Inc. 1984 Banach.Banach Space.Banachscher Ra

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The Classical Banach Spaces, of the results treated thus far were first derived in special cases, then understood to hold more generally. Not too surprisingly, along the path to general results many important theorems, special in their domain of applicability, were encountered. In this chapter, we present more than a few such

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Extremal Tests for Weak Convergence of Sequences and Series,rge weakly to the point ., it is necessary and sufficient that . = lim...hold for each extreme point . of ... The second improves the Bessaga-Pelczynski criterion for detecting ..’s absence; thanks to Elton, we are able to prove that in a Banach space . without a copy of .. inside it, any series ∑..

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