On spectral gaps of Markov maps

被引：7

作者：

Conde-Alonso, Jose M. ^{[1
]}

Parcet, Javier ^{[2
]}

Ricard, Eric ^{[3
]}

机构：

[1] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, E-08193 Barcelona, Spain

[2] CSIC, UAM, Inst Ciencias Matemat, UC3M,UCM, C Nicolas Cabrera 13-15, E-28049 Madrid, Spain

[3] Univ Caen Normandie, Lab Math Nicolas Oresme, F-14032 Caen, France

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2018年 / 226卷 / 01期

关键词：

SPACES; INEQUALITY; THEOREMS;

D O I：

10.1007/s11856-018-1693-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if a Markov map T on a noncommutative probability space M has a spectral gap on L (2)(M), then it also has one on L (p) (M) for 1 < p < a. For fixed p, the converse also holds if T is factorizable. Some results are also new for classical probability spaces.

引用

页码：189 / 203

页数：15

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