%0 Journal Article
%T 一类 Markov 模算子半群与相应的算子值 Dirichlet 型刻画<br>Characterization of Class of Markov Module Operator Semigroups and the Corresponding Operator-Valued Dirichlet Forms
%A 张伦传
%J 数学年刊（A辑）
%D 2018
%R 10.16205/j.cnki.cama.2018.0019
%X 本文基于${\rm II}_1${-}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.<br>The theory of noncommutative symmetric Dirichlet forms is generalized to the operator-valued cases based on ${\rm II}_1$ factor. The author establishes the natural correspondence among operator-valued Dirichlet forms, Markov module operator semigroups and Markovian resolvents within this context.
%K ${rm II}_1$型因子
%K Hilbert $w^*${-}双模
%K Markov 模算子半群
%K 算子值 Dirichlet 型&lt
%K br&gt
%K ${rm II}_1$ factor
%K Hilbert $w^*$-bimodule
%K Markov module operator semigroup
%K Operator-valued Dirichlet form
%U http://www.camath.fudan.edu.cn/camacn/ch/reader/view_abstract.aspx?file_no=39A209&flag=1