UNIFORMLY BOUNDED REPRESENTATIONS AND COMPLETELY BOUNDED MULTIPLIERS OF SL(2, R)

被引：2

作者：

Astengo, Francesca ^{[1
]}

Cowling, Michael G. ^{[2
]}

Di Blasio, Bianca ^{[3
]}

机构：

[1] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

[2] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 53, I-20125 Milan, Italy

来源：

ADVANCES IN OPERATOR THEORY | 2018年 / 3卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Completely bounded multipliers; Fourier algebra; SL(2; R);

D O I：

10.22034/aot.1707-1207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of SL(2, R) as completely bounded multipliers of the Fourier algebra. Our results suggest that the known inequality relating the uniformly bounded norm of a representation and the completely bounded norm of its coefficients may not be optimal.

引用

页码：247 / 270

页数：24

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