J Austral Math Soc Ser A 50 pp233--242, 1991.

On Weighted Inductive Limits of Spaces of Fréchet-Valued Continuous Functions

Antonio Galbis

Abstract

In this article we continue the study of weighted inductive limits of spaces of Fréchet-valued continuous functions, concentrating on the problem of projective descriptions and the barrelledness of the corresponding "projective hull." Our study is related to the work of Vogt on the study of pairs (E, F) of Fréchet spaces such that every continuous linear mapping from E into F is bounded and on the study of the functor Ext¹(E, F) for pairs (E, F) of Fréchet spaces.

1980 AMS Subject Classification (1985 Revision): 46A06, 46A07, 46E40

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Authors

Antonio Galbis

Facultad de Matemáticas, Universitat de Valčncia, Burjasot (Valencia), Spain