Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. II

DOI10.1007/BF01309009zbMath0393.46032MaRDI QIDQ1252503

Hans-Joachim Petzsche

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/154612

zbMATH Keywords

NuclearityNuclearity TypesPower Series SpacesSpaces of Ultradifferential FunctionsTensor Products of Smooth Sequence Spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Tensor products in functional analysis (46M05)

Related Items (6)

Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions ⋮ Ein Isomorphiesatz für Potenzreihenräume ⋮ The Characterization of the Almost Periodic Ultradistributions of Beurling Type ⋮ On tensor products of locally convex -spaces with applications to λ-nuclearity ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions ⋮ Approximation of ultra-differentiable functions by polynomials and entire functions

Cites Work

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• Duality between spaces of \(p\)-summable sequences, \((p,q)\)-summing operators and characterizations of nuclearity
• Einführung in die Theorie der lokalkonvexen Räume
• Die diametrale Dimension von lokalkonvexen Räumen
• La transformation de Fourier complexe et l'équation de convolution
• Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
• Sur quelques extensions de la notion de distribution
• Relationships Between λ-Nuclearity and Pseudo-μ-Nuclearity
• Power series spaces $Λ_{k}(a)$ of finite type and related nuclearities
• A generalization of Dragilev's theorem.
• On 𝜆-nuclearity
• Smooth Sequence Spaces and Associated Nuclearity

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