NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS

被引：2

作者：

Lugiewicz, P. ^{[1
]}

Olkiewicz, R. ^{[1
]}

Zegarlinski, B. ^{[2
]}

机构：

[1] Univ Wroclaw, Inst Theoret Phys, PL-50138 Wroclaw, Poland

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2013年 / 16卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Nonlinear quantum dynamical semigroups; dissipative sets; strongly positive semigroups; QUANTUM DYNAMICAL SEMIGROUPS;

D O I：

10.1142/S0219025713500045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A notion of a nonlinear quantum dynamical semigroup is introduced and discussed. Some sufficient conditions, expressed solely in terms of the duality map, in order that a multivalued mapping on a C*-algebra generates the nonlinear Markov semigroup are proposed.

引用

页数：21

共 50 条

[11] C*-algebras generated by cancellative semigroups
Grigoryan, S. A.
Salakhutdinov, A. F.
SIBERIAN MATHEMATICAL JOURNAL, 2010, 51 (01) : 12 - 19
[12] Inverse semigroups and combinatorial C*-algebras
Exel, Ruy
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2008, 39 (02): : 191 - 313
[13] Amalgams of Inverse Semigroups and C*-Algebras
Donsig, Allan P.
Haataja, Steven P.
Meakin, John C.
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2011, 60 (04) : 1059 - 1076
[14] Semigroup C*-algebras and amenability of semigroups
Li, Xin
JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (10) : 4302 - 4340
[15] Strong Feller semigroups on C*-algebras
Sauvageot, JL
JOURNAL OF OPERATOR THEORY, 1999, 42 (01) : 83 - 102
[16] C*-algebras generated by cancellative semigroups
S. A. Grigoryan
A. F. Salakhutdinov
Siberian Mathematical Journal, 2010, 51 : 12 - 19
[17] Boundary quotient C*-algebras of semigroups
Kakariadis, Evgenios T. A.
Katsoulis, Elias G.
Laca, Marcelo
Li, Xin
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2022, 105 (04): : 2136 - 2166
[18] Inverse semigroups and combinatorial C*-algebras
Ruy Exel*
Bulletin of the Brazilian Mathematical Society, New Series, 2008, 39 : 191 - 313
[19] Amenability and paradoxicality in semigroups and C*-algebras
Ara, Pere
Lledo, Fernando
Martinez, Diego
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (02)
[20] Cuntz semigroups of ultraproduct C*-algebras
Antoine, Ramon
Perera, Francesc
Thiel, Hannes
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2020, 102 (03): : 994 - 1029

← 1 2 3 4 5 →