Independence and product systems

被引：9

作者：

Skeide, M ^{[1
]}

机构：

[1] Univ Studi Molise, Dipartimento SEGeS, I-86100 Campobasso, Italy

来源：

RECENT DEVELOPMENTS IN STOCHASTIC ANALYSIS AND RELATED TOPICS | 2004年

关键词：

D O I：

10.1142/9789812702241_0026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product systems of Hilbert modules we show that monotone conditional independence arises naturally in dilation theory.

引用

页码：420 / 438

页数：19

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