Nicht-Nuklearität von Räumen beliebig oft differenzierbarer Funktionen

DOI10.1007/BF01224945zbMath0417.46026MaRDI QIDQ755098

Reinhold Meise

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

infinite dimensional absolutely convex compact subsetnon nuclearityspace of infinitely differentiable functions on an infinite dimensional spacesystem of bounded subsets

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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)

Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields

Cites Work

• Differential calculus in locally convex spaces
• Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben
• An example of a nuclear space in infinite dimensional holomorphy
• Zum Einbettungssatz von Rellich bei Sobolevräumen
• Holomorphic functions with values in locally convex spaces and applications to integral formulas

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