Weakly compactly generated locally convex spaces-Reference-Cited by-同舟云学术

Weakly compactly generated locally convex spaces

Published:1977-07 Issue:1 Volume:82 Page:85-98
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Hunter Richard J.,Lloyd John

Abstract

AbstractLocally convex spaces which are generated by a weakly compact subset (or a sequence of weakly compact subsets) and their subspaces are studied. Various characterizations and the permanence properties of these spaces are obtained. Certain results valid for weakly compactly generated Banach spaces are extended. These spaces are shown to have sequential properties which extend well-known properties of separable locally convex spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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