On the Weakly Precompact and Unconditionally Converging Operators
Mohsen Alimohammady2006, Glasgow Mathematical Journal
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Abstract
In this paper we present some results about wV (weak property V of Pełczyński) or property wV * (weak property V * of Pełczyński) in Banach spaces. We show that E has property wV if for any reflexive subspace F of E * , ⊥ F has property wV. It is shown that G has property wV if under some condition K w * (E * , F *) contains the dual of G. Moreover, it is proved that E * contains a copy of c 0 if and only if E contains a copy of 1 where E has property wV *. Finally, the identity between L(C(, E), F) and WP(C(, E), F) is investigated.
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