Majorization for products of measurable operators

被引：25

作者：

Bikchentaev, A ^{[1
]}

机构：

[1] Kazan State Univ, Dept Mech & Math, Kazan 420008, Tatarstan, Russia

来源：

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1023/A:1026688801188

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new equality for a faithful normal semifinite trace on a von Neumann algebra is proved. We conjecture a strengthening of the result.

引用

页码：571 / 576

页数：6

共 11 条

[1]

BROWN LG, 1990, J OPERAT THEOR, V23, P3

[2]

DIXMIER J, 1969, ALGEBRES OPERATEURS

[3] NONCOMMUTATIVE KOTHE DUALITY [J].

DODDS, PG ;

DODDS, TKY ;

DEPAGTER, B .

[4]

Gohberg Israel, 1978, Introduction to the theory of linear non-selfadjoint operators in a Hilbert space, V18

[5] A NOTE ON IDEALS OF OPERATORS [J].

LOEBL, RI .

[6]

Nelson E., 1974, Journal of Functional Analysis, V15, P103, DOI 10.1016/0022-1236(74)90014-7

[7]

Reed M., 1972, Methods of modern mathematical physics, V1

[8] INEQUALITIES FOR TRACES ON VON NEUMANN ALGEBRAS [J].

RUSKAI, MB .

[9]

Stinespring WF., 1959, Trans. Amer. Math. Soc, V90, P15, DOI [10.1090/S0002-9947-1959-0102761-9, DOI 10.1090/S0002-9947-1959-0102761-9]

[10]

Stroh A., 1993, Proc. R. Irish Acad., Sect. A, V93, P73