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On weighted inductive limits of spaces of Fréchet-valued continuous functions

Part of: Linear function spaces and their duals

Published online by Cambridge University Press:  09 April 2009

Antonio Galbis
Antonio Galbis
Affiliation:
Facultad de Matemáticas Universitat de ValènciaBurjasot (Valencia), Spain
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Abstract

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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.

MSC classification

Secondary: 46E40: Spaces of vector- and operator-valued functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 2 , April 1991 , pp. 233 - 242
Copyright
Copyright © Australian Mathematical Society 1991

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