A characterization of Schwartz spaces

DOI10.1007/BF01184675zbMath0653.46007MaRDI QIDQ1107787

Mikael Lindström

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173935

zbMATH Keywords

complemented subspacelocally convex spaceSchwartz spacequasi-normablecharacterization of compact operators between Banach spacesequicontinuous weak* convergent sequence in the duallimited operators

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (7)

Cotype and complemented copies of $c_0$ in spaces of operators ⋮ Limited spaces ⋮ Schwartz spaces and compact holomorphic mappings ⋮ Extending Edgar's ordering to locally convex spaces ⋮ Schwartz groups and convergence of characters ⋮ Polynomials and limited sets ⋮ On limitedness in locally convex spaces

Cites Work

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• Limited Operators and Strict Cosingularity
• Holomorphic functions of uniformly bounded type on nuclear Fréchet spaces
• On a Bornological Structure in Infinite-Dimensional Holomorphy
• Extension of Entire Functions on Nuclear Locally Convex Spaces

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