Completely bounded and ideal norms of multiplication operators and Schur multipliers

DOI10.1007/S00020-010-1751-5zbMath1233.47033OpenAlexW2059716797MaRDI QIDQ989950

Timur Oikhberg

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1751-5

zbMATH Keywords

multiplication operatorSchur multipliercompletely bounded operatorcompletely \(p\)-nuclear operatorcompletely \(p\)-summing operatorSchatten-von-Neumann classToeplitz Schur multiplier

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator spaces (= matricially normed spaces) (47L25) Operator ideals (47L20) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (4)

Completely \((q,p)\)-mixing maps ⋮ Complemented subspaces of spaces of multilinear forms and tensor products. II. Noncommutative \(L_p\) spaces ⋮ Operator \(p\)-compact mappings ⋮ Rank-one quantum games

Cites Work

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• Operator-space Grothendieck inequalities for noncommutative \(L_p\)-spaces
• Summing norms of identities between unitary ideals
• Completely \(p\)-summing maps on the operator Hilbert space \(OH\)
• Maurey's factorization theory for operator spaces
• Pointwise domination of matrices and comparison of \(F_ p\) norms
• Grothendieck's theorem for operator spaces
• A Maurey type result for operator spaces
• Embedding of the operator space OH and the logarithmic `little Grothendieck inequality'
• Embedding of \(C_q\) and \(R_q\) into noncommutative \(L_p\)-spaces, \(1 \leq p < q \leq 2\)
• Representation of certain homogeneous Hilbertian operator spaces and applications
• Restricted Schur multipliers and their applications
• Diagonal mappings between sequence spaces
• A remark on p-integral and p-absolutely summing operators form $l_{u}$ into $l_{v}$
• Convolution operators associated with vector measures
• Comparing gaussian and Rademacher cotype for operators on the space of continuous functions
• Some remarks on Toeplitz multipliers and Hankel matrices

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