On the tensor stability of \(s\)-number ideals

DOI10.1007/BF01455997zbMath0547.47027MaRDI QIDQ798942

Hermann Koenig

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163922

zbMATH Keywords

approximation numberstensor normsLorentz sequence spaceoperator idealsWeyl-numbersbilinear interpolationfactorization theoremsdual cotype 2stable up to logarithmic factorstensor stability of s-number ideals

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Tensor products in functional analysis (46M05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (5)

Tensor power sequences and the approximation of tensor product operators ⋮ On interpolation of weakly compact bilinear operators ⋮ Tensor products of regularly varying sequences ⋮ On function spaces of Lorentz-Sobolev type ⋮ Entropy numbers of tensor products of operators

Cites Work

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• Inequalities between geometric quantities of operators in Banach spaces
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• Interpolation of normed Abelian groups
• Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert
• Factorization theorems for some scales of operator ideals
• Tensor Product Mappings. II
• Applications à puissance nucléaire et applications de Hilbert-Schmidt dans les espaces de Banach

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