Infinite Measures on von Neumann Algebras

被引：3

作者：

Goldstein, Stanislaw ^{[1
]}

Paszkiewicz, Adam ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2015年 / 54卷 / 12期

关键词：

Infinite measure; Weight; Semifinite; Densely semifinite; Strictly semifinite; von Neumann algebra; WEIGHT; STATES;

D O I：

10.1007/s10773-015-2546-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Infinite measures on von Neumann algebras are classified according to properties analogous to those from classical measure theory. These properties are carefully examined in case of semifinite von Neumann algebras. Some examples are also given and the direction for further research indicated.

引用

页码：4341 / 4348

页数：8

共 9 条

[1]

COMBES F, 1971, COMPOS MATH, V23, P49

[2]

COMBES F, 1968, J MATH PURE APPL, V47, P57

[3]

COMBES F, 1971, B SOC MATH FR, V99, P73

[4] COMPARISON OF STATES AND DARBOUX-TYPE PROPERTIES IN VONNEUMANN-ALGEBRAS [J].

GOLDSTEIN, S ;

PASZKIEWICZ, A .

MATHEMATICA SCANDINAVICA, 1988, 63 (02) :220-232

[5]

HAAGERUP U, 1977, P AM MATH SOC, V62, P278

[6] STATES AND AUTOMORPHISM GROUPS OF OPERATOR ALGEBRAS [J].

HERMAN, RH ;

TAKESAKI, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1970, 19 (02) :142-&

[7]

Stratila S., 1981, Modular Theory in Operator Algebras

[8]

Takesaki M, 2002, THEORY OPERATOR ALGE

[9]

TAKESAKI M, 2003, THEORY OPERATOR ALGE, V2

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