COMPOSITION OPERATORS ON HAAGERUP Lp-SPACES

被引：3

作者：

Goldstein, S. ^{[1
]}

Labuschagne, L. E. ^{[2
]}

机构：

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

[2] Univ S Africa, Dept Math Sci, ZA-0003 Pretoria, South Africa

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2009年 / 12卷 / 03期

关键词：

Composition operator; change of weights; Radon-Nikodym; noncommutative L-p-space; von Neumann algebra; W-STAR-ALGEBRAS; VONNEUMANN ALGEBRA; MARKOV SEMIGROUPS;

D O I：

10.1142/S0219025709003793

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Building on the ideas of Ref. 14 we indicate how the concept of a composition operator may be extended to the context of Haagerup L-p-spaces.

引用

页码：439 / 468

页数：30

共 27 条

[1]

[Anonymous], 1972, METHODS MODERN MATH, DOI DOI 10.1016/B978-0-12-585001-8.50008-8

[2]

[Anonymous], 1976, GRUNDLEHREN MATH WIS

[3]

[Anonymous], 2003, Theory of Operator Algebras

[4]

Bratteli O., 1987, Operator algebras and quantum statistical mechanics, VI

[5] Multiple sclerosis: Treating symptoms, and other general medical issues [J].

Goldman, MD ;

Cohen, JA ;

Fox, RJ ;

Bethoux, FA .

CLEVELAND CLINIC JOURNAL OF MEDICINE, 2006, 73 (02) :177-186

[6] CONDITIONAL-EXPECTATION AND STOCHASTIC INTEGRALS IN NONCOMMUTATIVE LP SPACES [J].

GOLDSTEIN, S .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1991, 110 :365-383

[7] Markov semigroups KMS-symmetric for a weight [J].

Goldstein, S ;

Lindsay, JM .

MATHEMATISCHE ANNALEN, 1999, 313 (01) :39-67

[8] KMS-SYMMETRICAL MARKOV SEMIGROUPS [J].

GOLDSTEIN, S ;

LINDSAY, JM .

MATHEMATISCHE ZEITSCHRIFT, 1995, 219 (04) :591-608

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

GOLDSTEIN, S ;

PASZKIEWICZ, A .

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

[10] NORMAL WEIGHTS ON W-STAR-ALGEBRAS [J].

HAAGERUP, U .

JOURNAL OF FUNCTIONAL ANALYSIS, 1975, 19 (03) :302-317

← 1 2 3 →