Lipschitz and commutator estimates in symmetric operator spaces

被引：0

作者：

Potapov, Denis ^{[1
]}

Sukochev, Fyodor ^{[1
]}

机构：

[1] Flinders Univ S Australia, Fac Sci & Engn, Sch Informat & Engn, Bedford Pk, SA 5042, Australia

来源：

JOURNAL OF OPERATOR THEORY | 2008年 / 59卷 / 01期

关键词：

non-commutative function spaces; commutators; perturbations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies Lipschitz and commutator estimates in (non-commutative) symmetric operator spaces E associated with a general semi-finite von Neumann algebra M taken in its left regular representation. In particular, we show that if f' is of bounded variation and E is a reflexive (non commutative) L-p-space on M, then the Lipschitz estimate (*) parallel to f(a) - F(b)parallel to(E)<= c(f)parallel to a - b parallel to(E), holds for arbitrary self-adjoint operators a and b affiliated with M.

引用

页码：211 / 234

页数：24

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