Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules

Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules

This paper introduces and studies hypo-EP matrices of adjointable operators on Hilbert C∗-modules, based on the generalized Schur complement. The necessary and sufficient conditions for some modular operator matrices to be hypo-EP are given, and some special circumstances are also analyzed. Furtherm...

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Main Authors: Xiaopeng Li, Junjie Huang, Alatancang Chen
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5528089
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spelling doaj-f57a1bac642c480c882d4d5b9e6c0c982021-06-07T02:14:08ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/5528089Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-ModulesXiaopeng Li0Junjie Huang1Alatancang Chen2School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesThis paper introduces and studies hypo-EP matrices of adjointable operators on Hilbert C∗-modules, based on the generalized Schur complement. The necessary and sufficient conditions for some modular operator matrices to be hypo-EP are given, and some special circumstances are also analyzed. Furthermore, an application of the EP operator in operator equations is given.http://dx.doi.org/10.1155/2021/5528089
collection DOAJ
language English
format Article
sources DOAJ
author Xiaopeng Li
Junjie Huang
Alatancang Chen
spellingShingle Xiaopeng Li
Junjie Huang
Alatancang Chen
Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
Complexity
author_facet Xiaopeng Li
Junjie Huang
Alatancang Chen
author_sort Xiaopeng Li
title Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
title_short Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
title_full Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
title_fullStr Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
title_full_unstemmed Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
title_sort hypo-ep matrices of adjointable operators on hilbert c∗-modules
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description This paper introduces and studies hypo-EP matrices of adjointable operators on Hilbert C∗-modules, based on the generalized Schur complement. The necessary and sufficient conditions for some modular operator matrices to be hypo-EP are given, and some special circumstances are also analyzed. Furthermore, an application of the EP operator in operator equations is given.
url http://dx.doi.org/10.1155/2021/5528089
work_keys_str_mv AT xiaopengli hypoepmatricesofadjointableoperatorsonhilbertcmodules
AT junjiehuang hypoepmatricesofadjointableoperatorsonhilbertcmodules
AT alatancangchen hypoepmatricesofadjointableoperatorsonhilbertcmodules
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