一类Markov模算子半群与相应的算子值Dirichlet型刻画  

Characterization of Class of Markov Module Operator Semigroups and the Corresponding Operator-Valued Dirichlet Forms

作　　者：张伦传 ZHANG Lunchuan(Department of Mathematics, Renmin University of China, Beijing 100086, China)

机构地区：[1]中国人民大学信息学院数学系,北京100086

出　　处：《数学年刊（A辑）》2018年第2期199-210,共12页Chinese Annals of Mathematics

摘　　要：本文基于Ⅱ_1-型因子把非交换对称Dirichlet型理论推广到算子值情形.在此框架下建立了算子值Dirichlet型,Markov模算子半群及Markov预解集之间的一一对应关系.The theory of noncommutative symmetric Dirichlet forms is generalized to the operator-valued cases based on Ⅱ1 factor. The author establishes the natural correspondence among operator-valued Dirichlet forms, Markov module operator semigroups and Markovian resolvents within this context.

关 键 词：Ⅱ1型因子 HILBERT w＊-双模 Markov模算子半群 算子值Dirichlet型 

分 类 号：O177.5[理学—数学]