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Weakly compact operators and the strict topologies
Published online by Cambridge University Press: 17 April 2009
Abstract
Let X be a completely regular space. We denote by Cb(X) the Banach space of all real-valued bounded continuous functions on X endowed with the supremum-norm.
In this paper we prove some characterisations of weakly compact operators defined from Cb(X) into a Banach space E which are continuous with respect to fit, βt, βr and βσ introduced by Sentilles.
We also prove that (Cb,(X), βi), i = t, τσ , has the Dunford-Pettis property.
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- Copyright © Australian Mathematical Society 1989
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