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

页码：1139 / 1150

页数：12

共 44 条

[1] Wold-Type Decompositions for a Commutative Pair of Noncommutative Semigroups of Isometries
Tudor Bînzar
Cristian Lăzureanu
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1139 - 1150
[2] Wold-Type Decompositions for Pairs of Commutative Semigroups Generated by Isometries
T. Bînzar
C. Lăzureanu
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[3] Wold-Type Decompositions for Pairs of Commutative Semigroups Generated by Isometries
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[9] The Wold-Type Decomposition for m-Isometries
Kosmider, Jakub
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 4155 - 4174
[10] The Wold-Type Decomposition for m-Isometries
Jakub Kośmider
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 4155 - 4174

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