Complemented Copies of $l_1$ in $L^\infty(\mu,X)$
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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Rosenthal [R] introduced the Lp space Xp in 1971. Among its interesting properties are that it contains and is contained in isomorphs of lp ⊕ l2, but is not isomorphic to a complemented subspace of lp⊕ l2. These properties have made Xp rather resistant to standard approaches to classifying its complemented subspaces. For example it was first proved that Xp was primary in [JO2] where the device ...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1997
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181071892