Wold-Type Decompositions for a Commutative Pair of Noncommutative Semigroups of Isometries

被引：0
|
作者：
Binzar, Tudor [1 ]
Lazureanu, Cristian [1 ]
机构：
[1] Politehn Univ Timisoara, Dept Math, Piata Victoriei 2, Timisoara 300006, Romania
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2018年 / 41卷 / 02期
关键词：
Noncommutative isometric semigroups; Wold decomposition; Right defect spaces; HOMOGENEOUS RANDOM-FIELDS; COMMUTING ISOMETRIES; REPRESENTATIONS; OPERATORS; DILATIONS; MODELS;
D O I：
10.1007/s40840-016-0379-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a pair of noncommutative isometric semigroups on a Hilbert space is considered. The existence and uniqueness of Wold-type decompositions for this pair are studied and connections with the noncommutative Wold decomposition for the product semigroup generated by this pair are given. Also, characterizations for the product semigroup to be a standard semigroup are presented.
引用
收藏
页码：1139 / 1150
页数：12
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