Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operators . 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 is weakly precompact.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1182,
author = {Juliusz Stochmal},
title = {Weakly precompact operators on $C\_{b}(X,E)$ with the strict topology},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {36},
year = {2016},
pages = {65-77},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1182}
}
Juliusz Stochmal. Weakly precompact operators on $C_{b}(X,E)$ with the strict topology. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 36 (2016) pp. 65-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1182/
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