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ArticleOriginal scientific text

Title

Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity

Authors 1, 1

Affiliations

  1. Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Abstract

Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.

Keywords

ENG
Fréchet spaces of (weakly, weak*) continuous vector-valued functions injective Fréchet spaces, spaces complemented in dual Fréchet spaces, complemented copies of c0, Josefson-Nissenzweig theorem

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Studia Mathematica
1992/102/3
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Pages:
257-267
Main language of publication
English
Received
1991-12-12
Published
1992
Exact and natural sciences