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

被引：0

作者：

Tudor Bînzar

Cristian Lăzureanu

机构：

[1] Politehnica University of Timişoara,Department of Mathematics

来源：

Bulletin of the Malaysian Mathematical Sciences Society | 2018年 / 41卷

关键词：

Noncommutative isometric semigroups; Wold decomposition; Right defect spaces; 47D03; 47A15;

D O I：

暂无

中图分类号：

学科分类号：

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：11

共 45 条

[1] Wold-Type Decompositions for a Commutative Pair of Noncommutative Semigroups of Isometries
Binzar, Tudor
Lazureanu, Cristian
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (02) : 1139 - 1150
[2] Wold-Type Decompositions for Pairs of Commutative Semigroups Generated by Isometries
T. Bînzar
C. Lăzureanu
Functional Analysis and Its Applications, 2022, 56 : 37 - 47
[3] Wold-Type Decompositions for Pairs of Commutative Semigroups Generated by Isometries
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[4] Noncommutative Wold decompositions for semigroups of isometries
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[5] Wold-type decomposition of semigroups of isometries in Baer *-rings
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[6] Wold-type decompositions and wandering subspaces for operators close to isometries
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[7] Wold-Type Decomposition of Semigroups of Isometries in Baer *-rings II
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[8] Wold-type decompositions in Baer *-rings
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LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 539 : 117 - 133
[9] The Wold-Type Decomposition for m-Isometries
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BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 4155 - 4174
[10] The Wold-Type Decomposition for m-Isometries
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Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 4155 - 4174

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