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.
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页码：259 / 264
页数：6
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