Spectral properties of Markov semigroups in von Neumann algebras

被引：0

作者：

Kielanowicz, Katarzyna ^{[1
]}

Luczak, Andrzej ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, Ul S Banacha 22, PL-90238 Lodz, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 02期

关键词：

Von Neumann algebras; Markov semigroups; Spectral subspaces; Ergodic projections; Positive maps; INVARIANT STATES; EIGENVALUES; SYSTEMS;

D O I：

10.1016/j.jmaa.2017.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate spectral properties of Markov semigroups in von Neumann algebras and their dual semigroups in a fairly general setting which assumes only the abelianess of the semigroups and positivity of the maps in question. In particular, we analyse various properties of the spectral subspaces, and relations between the spectra of the Markov semigroup and its dual semigroup. In our analysis, we make extensive use of ergodic and quasi-ergodic projections which seems to be a new but quite fruitful approach. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：821 / 840

页数：20

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