Complemented Copies of l 1 in Spaces of Vector Measures and Applications
نویسندگان
چکیده
منابع مشابه
COMPLEMENTED COPIES OF l1 IN SPACES OF VECTOR MEASURES AND APPLICATIONS
Let X be a Banach space and (Ω,Σ) be a measure space. We provide a characterization of sequences in the space of X-valued countably additive measures on (Ω,Σ) of bounded variation that generates complemented copies of l1. As application, we prove that if a dual Banach space E∗ has Pe lczyński’s property (V*) then so does the space of E∗-valued countably additive measures with the variation norm...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 1999
ISSN: 0025-584X
DOI: 10.1002/mana.19992020109