Dilation properties of measurable Schur multipliers and Fourier multipliers

DOI10.1007/s11117-022-00933-xOpenAlexW4288748414MaRDI QIDQ2160364

Charles Duquet

Publication date: 3 August 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06575

zbMATH Keywords

Fourier multipliersdilationcompletely positive mapsSchur multipliers

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Dilations, extensions, compressions of linear operators (47A20) Positive linear operators and order-bounded operators (47B65) Noncommutative function spaces (46L52) Crossed product algebras (analytic crossed products) (47L65)

Related Items (1)

A characterization of absolutely dilatable Schur multipliers

Cites Work

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• Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property
• An example of a generalized Brownian motion
• On the dual space of \(H^ p(X)\), \(1<p<\infty \)
• Remark on Herz-Schur multipliers on free groups
• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
• An invitation to von Neumann algebras
• On multivariate Matsaev's conjecture
• Dilations and rigid factorisations on noncommutative \(L^{p}\)-spaces
• Noncommutative maximal ergodic theorems
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Dilations of Positive Contractions on L_p Spaces^*
• Measurable schur multipliers and completely bounded multipliers of the Fourier algebras
• Dilations of Markovian semigroups of Fourier multipliers on locally compact groups
• On Matsaev's conjecture for contractions on noncommutative $L^p$-spaces
• Feynman diagrams and Wick products associated withq-Fock space
• L'algèbre de Fourier d'un groupe localement compact
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
• Theory of operator algebras I.

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