Schwartz spaces and compact holomorphic mappings

DOI10.1007/BF01161925zbMath0653.46008OpenAlexW181067469MaRDI QIDQ1107788

Mikael Lindström

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155272

zbMATH Keywords

Schwartz spacecompact holomorphic mappingsequicontinuous weak*-null sequence in the dualquasi-normable locally convex space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) 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 (1)

A characterization of Schwartz spaces

Cites Work

• Unnamed Item
• Grothendieck locally convex spaces of continuous vector valued functions
• A characterization of Schwartz spaces
• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• Continuous convergence on C(X)
• Compact holomorphic mappings on Banach spaces and the approximation property
• Duale Charakterisierungen der Schwartz-Räume. (Dual characterization of Schwartz spaces)
• Characterization of Schwartz Spaces by their Holomorphic Duals
• Einbettbarkeit in den Bidualraum und Darstellbarkeit als projektiver Limes in Kategorien von Limesvektorräumen
• On a Bornological Structure in Infinite-Dimensional Holomorphy

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