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

Published online by Cambridge University Press:  09 April 2009

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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

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