Herz Schur multipliers and uniformly bounded representations of discrete groups

DOI10.1007/BF01196860zbMath0726.43007OpenAlexW2000143735MaRDI QIDQ803861

Marek Bożejko, Gero Fendler

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196860

zbMATH Keywords

positive definite kernelsfree groupbounded operatorsuniformly bounded representationsHerz-Schur multiplier algebraLittlewood functions

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Free nonabelian groups (20E05) Other representations of locally compact groups (22D12)

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Cites Work

• Schur multipliers
• Constantes de Grothendieck et fonctions de type positif sur les sphères
• Une généralisation de la notion de transformée de Fourier-Stieltjes
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Positive Definite Bounded Matrices and a Characterization of Amenable Groups
• A uniformly bounded representation associated to a free set in a discrete group
• $L^p$-convolution operators and tensor products of Banach spaces
• Characterization of amenable groups and the Littlewood functions on free groups
• Embedding Theorems for Groups