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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Bibliographic Details
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
Description
Summary: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.
ISSN:1099-0526