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On the stability of barrelled topologies, I
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1979
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