The eigenvectors of semigroups of positive maps on von Neumann algebras

被引：2
|
作者：
Luczak, Andrzej [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2010年 / 30卷
关键词：
EIGENVALUES;
D O I：
10.1017/S0143385709000698
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The eigenvectors of an ergodic semigroup of linear normal positive unital maps on a von Neumann algebra are described. Moreover, it is shown by means of examples that mere positivity of the maps in question is not sufficient for Frobenius theory as in Albeverio and Hoegh-Krohn [Frobenius theory of positive maps of von Neumann algebras. Comm. Math. Phys. 64 (1978), 83-94] to hold.
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页码：1495 / 1502
页数：8
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