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

• Autorzy: P. Domański , L. Drewnowski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fréchet spaces of (weakly, weak*) continuous vector-valued functions injective Fréchet spaces; spaces complemented in dual Fréchet spaces; complemented copies of $c_0$; Josefson-Nissenzweig theorem

Kategorie tematyczne

• 46A25: Reflexivity and semi-reflexivity
• 46A08: Barrelled spaces, bornological spaces
• 46E40: Spaces of vector- and operator-valued functions
• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces
• 46A11: Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46M10: Projective and injective objects

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 102
• Numer: 3
• Strony: 257-267

Daty

wydano

1992

otrzymano

1991-12-12

Twórcy

autor

P. Domański

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

autor

L. Drewnowski

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

Bibliografia

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