Weakly precompact operators on Cb(X,E) with the strict topology
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2016, Vol 36, Issue 1
Abstract
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operators T: Cb(X,E)→ F. In particular, we show that if X is a paracompact k-space and E contains no isomorphic copy of l1, then every strongly bounded operator T: Cb(X,E)→ F is weakly precompact.
Authors and Affiliations
Juliusz Stochmal
Keywords
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