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Quasi-suprabarrelled spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper a proper class of barrelled spaces which strictly contains the suprabarrelled spaces is considered. A closed graph theorem and some permanence properties are given. This allows us to prove the necessity of a condition of a theorem of S. A. Saxon and P. P. Narayanaswami by constructing an example of a non-suprabarrelled Baire-like space which is a dense subspace of a Fréchet space and is not an (LF)-space under any strong locally convex topology.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 46 , Issue 1 , February 1989 , pp. 137 - 145
- Copyright
- Copyright © Australian Mathematical Society 1989
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