Projections, multipliers and decomposable maps on noncommutative $\mathrm{L}^p$-spaces

DOI10.24033/msmf.485zbMath1529.46043arXiv1707.05591OpenAlexW2738087178MaRDI QIDQ6175268

Christoph Kriegler, Cédric Arhancet

Publication date: 21 July 2023

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05591

zbMATH Keywords

Fourier multipliersdecomposable operatorsnoncommutative \(L^p\)-spacesSchur multipliersregular operatorsoperator spacesfactorizable mapscomplementationsChabauty-Fell topology

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Operator spaces and completely bounded maps (46L07) Noncommutative measure and integration (46L51) Operator spaces (= matricially normed spaces) (47L25) Noncommutative function spaces (46L52) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Positive definite functions on groups, semigroups, etc. (43A35) Means on groups, semigroups, etc.; amenable groups (43A07) Character groups and dual objects (43A40)

Related Items (4)

On multivariate Matsaev's conjecture ⋮ Contractively decomposable projections on noncommutative \(\mathrm{L}^p\)-spaces ⋮ Separating Fourier and Schur multipliers ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces

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