Vol. 102, No. 2, 1982

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ISSN: 0030-8730
Spaces of weakly continuous functions

Juan Ferrera

Vol. 102 (1982), No. 2, 285–291
Abstract

In this paper we study some properties about the space of weakly continuous functions on bounded sets of a Banach space E : Cwb(E). We study the relation between Cwb(E) and Cwbu(E) (weakly uniformly continuous functions on bounded sets). And we give the following characterization: Cwbu(E) is a barreled space if and only if E is reflexive.

Mathematical Subject Classification 2000
Primary: 46E10
Secondary: 46A09
Milestones
Received: 17 June 1981
Published: 1 October 1982
Authors
Juan Ferrera