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 45 条

[31] SZEGO-TYPE DECOMPOSITIONS FOR ISOMETRIES
Burdak, Zbigniew
Kosiek, Marek
Pagacz, Patryk
Slocinski, Marek
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 10 (03): : 593 - 607
[32] Cauchy dual and Wold-type decomposition for bi-regular covariant representations
Dimple Saini
[J]. Acta Scientiarum Mathematicarum, 2024, 90 : 123 - 144
[33] Noncommutative Davis type decompositions and applications
Randrianantoanina, Narcisse
Wu, Lian
Xu, Quanhua
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2019, 99 (01): : 97 - 126
[34] Wold-Type Decomposition of Semigroups of Isometries in Baer ∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$*$$\end{document}-rings II
G. H. Esslamzadeh
M. Sabzevari
[J]. Results in Mathematics, 2022, 77 (2)
[35] Isometries, direct sum decompositions, analytic type function spaces, and radial operators
Vasilevski, Nikolai
[J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2023, 29 (SUPPL 1):
[36] Isometries, direct sum decompositions, analytic type function spaces, and radial operators
Nikolai Vasilevski
[J]. Boletín de la Sociedad Matemática Mexicana, 2023, 29
[37] ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS
曾六川
[J]. Acta Mathematica Scientia, 2006, (02) : 246 - 254
[38] Asymptotic behavior for commutative semigroups of asymptotically nonexpansive-type mappings
Gang, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (02) : 175 - 183
[39] Asymptotic behavior for commutative semigroups of almost asymptotically nonexpansive type mappings
Zeng, LC
[J]. ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 246 - 254
[40] Asymptotic behavior for commutative semigroups of asymptotically nonexpansive-type mappings
[J]. Li, Gang, 2000, Elsevier Science Ltd, Exeter, United Kingdom (42):

← 1 2 3 4 5 →