On the BAP in Fréchet Schwartz spaces and their duals

DOI10.1007/BF01471102zbMath0639.46003OpenAlexW1977845624MaRDI QIDQ1100395

Jesús M. Fernandez Castillo

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178361

zbMATH Keywords

bounded approximation propertyfinite decomposition propertyFréchet Schwartz space with the BAPimbedding theorem of Pelczynski and Wojtaszczyk

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Cites Work

• On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
• Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces

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