Generalized random linear operators on a Hilbert space

被引：6

作者：

Dang Hung Thang ^{[1
]}

Nguyen Thinh ^{[1
]}

机构：

[1] Hanoi Univ Sci, Dept Math, Hanoi, Vietnam

来源：

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2013年 / 85卷 / 06期

关键词：

random operator; generalized bounded random operator; generalized random normal operators; generalized random self-adjoint operators; random spectral measure; RANDOM FIXED-POINTS; MAPS;

D O I：

10.1080/17442508.2012.736995

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with generalized random linear operators on a separable Hilbert space. Generalized random linear bounded operators, generalized random linear normal operators and generalized random linear self-adjoint operators are defined and investigated. The spectral theorems for generalized random linear normal operators and generalized random linear self-adjoint operators are obtained.

引用

页码：1040 / 1059

页数：20

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