Schur and Fourier multipliers of an amenable group acting on non-commutative 𝐿^{𝑝}-spaces

DOI10.1090/S0002-9947-2015-06281-3zbMath1325.43002arXiv1303.0135MaRDI QIDQ2944816

Martijn Caspers, Mikael de la Salle

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0135

zbMATH Keywords

Fourier multipliersamenabilitySchur multipliernon-commutative \(L^p\)-spaces

Mathematics Subject Classification ID

Ultraproduct techniques in Banach space theory (46B08) Spaces of operators; tensor products; approximation properties (46B28) Interpolation between normed linear spaces (46B70) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (10)

Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ NONCOMMUTATIVE DE LEEUW THEOREMS ⋮ Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory ⋮ Multilinear transference of Fourier and Schur multipliers acting on noncommutative -spaces ⋮ Analysis on simple Lie groups and lattices ⋮ On quantum Sobolev inequalities ⋮ Local and multilinear noncommutative de Leeuw theorems ⋮ Crossed-products extensions, of \(L_p\)-bounds for amenable actions ⋮ Algebraic Calderón-Zygmund theory ⋮ On the complete bounds of \(L_p\)-Schur multipliers

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