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Sequential convergence in locally convex spaces

Published online by Cambridge University Press:  24 October 2008

J. H. Webb
J. H. Webb
Affiliation:
Gonville and Caius College, Cambridge and University of Cape Town, South Africa
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Abstract

Given a locally convex Hausdorff linear topological space, we construct and examine the following topologies in the space:

the finest locally convex topology with the same convergent sequences as the initial topology, and the finest locally convex topology with the same precompact sets as the initial topology.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 341 - 364
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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