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Weakly compactly generated locally convex spaces

Published online by Cambridge University Press:  24 October 2008

Richard J. Hunter  and
John Lloyd
Richard J. Hunter
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia
John Lloyd
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia
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Abstract

Locally 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 1 , July 1977 , pp. 85 - 98
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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