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On the stability of barrelled topologies, I

Published online by Cambridge University Press:  17 April 2009

W.J. Robertson  and
F.E. Yeomans
W.J. Robertson
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
F.E. Yeomans
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
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Abstract

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This note investigates, for locally convex topological vector spaces, the question of how far the property of being barrelled is stable under small increase in the size of the dual space. If the dual F of a barrelled space E is enlarged by a finite dimensional vector space M, then E remains barrelled under the new Mackey topology τ(E, F+M). We discuss what happens when M has countable dimension.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 3 , June 1979 , pp. 385 - 395
Copyright
Copyright © Australian Mathematical Society 1979

References

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