Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals

被引：26

作者：

Tikhonov, OE ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Res Inst Math & Mech, Kazan 420008, Russia

来源：

POSITIVITY | 2005年 / 9卷 / 02期

关键词：

algebra of matrices; functional calculus; positive normal functional; subadditivity inequality; tracial functional; von Neumann algebra;

D O I：

10.1007/s11117-005-2711-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine under which assumptions on a positive normal functional phi on a von Neumann algebra, M and a Borel measurable function f: R+ -> R with f(0) = 0 the subadditivity inequality phi(f(A+B)) <= phi(f(A)) +phi(f (B)) holds true for all positive operators A, B in M. A corresponding characterization of tracial functionals among positive normal functionals on a von Neumann algebra is presented.

引用

页码：259 / 264

页数：6

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