Non-commutative Hardy inequalities

被引：11

作者：

Hansen, Frank ^{[1
]}

机构：

[1] Univ Copenhagen, Dept Econ, DK-1455 Copenhagen K, Denmark

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2009年 / 41卷

关键词：

TRACE INEQUALITY; GEOMETRIC MEANS; THEOREM;

D O I：

10.1112/blms/bdp078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1 < p < 2, and to operators under a trace for arbitrary p > 1. Applications to trace functions are given. We introduce the tracial geometric mean and generalize Carleman's inequality.

引用

页码：1009 / 1016

页数：8

共 16 条

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