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Moore-Penrose Inverses In Rings And Weighted Partial Isometries In C*-Algebras

Ruju Zhao,Hua Yao,Junchao Wei

APPLIED MATHEMATICS AND COMPUTATION（2021）

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Abstract
We explore the existence of MP-inverse in rings with involution. In addition, we give some equivalent conditions for an element of a C*-algebra to be a weighted-EP element and weighted partial isometry. (C) 2020 Elsevier Inc. All rights reserved.
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Key words
15A09,16U99,16W10,*−Regularity,Moore-Penrose inverse,Weighted-EP element,Weighted partial isometry,C*−algebra,
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