J Austral Math Soc Ser A 46 pp137--145, 1989.

Quasi-Suprabarrelled Spaces

J. C. Ferrando and M. López-Pellicer

(Received 13 April 1987; revised 14 September 1987)

Abstract

In this paper a proper class of barrelled spaces which strictly contains 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.

1980 AMS Subject Classification (1985 Revision): primary 46A07l secondary 46A30

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Authors

J. C. Ferrando
M. López-Pellicer: Departamento de Matemáticas (ETSIA), Universidad Politécnica, Apartado 22012, 46022-Valencia, Spain.

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Last Modified: Wed Feb 19 10:27:50 2003