Tensor products of sequences, functions, and operators

DOI10.1007/BF01304796zbMath0464.47006MaRDI QIDQ1154090

Albrecht Pietsch

Publication date: 1982

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

zbMATH Keywords

Besov spacesapproximation spacesLorentz spacesoperators of Lr,u- type

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Tensor products in functional analysis (46M05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Approximation and entropy numbers of embeddings between approximation spaces ⋮ Embeddings of Besov spaces of logarithmic smoothness ⋮ Tensor power sequences and the approximation of tensor product operators ⋮ Eigenvalues of Integral Operators III ⋮ Tensor products of regularly varying sequences ⋮ Approximation spaces, limiting interpolation and Besov spaces ⋮ On a limit class of approximation spaces ⋮ Tensor products of several spaces and nuclearity ⋮ On the tensor stability of \(s\)-number ideals ⋮ Entropy numbers of tensor products of operators

Cites Work

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• Approximation spaces
• On the spectra of operators on tensor products
• Tensor product mappings
• Some permanence properties of locally convex spaces defined by norm space ideals of operators
• Tensor Product Mappings. II
• Spectra of Tensor Products of Operators
• On the spectra of tensor products of linear operators in Banach spaces.
• Compactness in Topological Tensor Products and Operator Spaces

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