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ArticleOriginal scientific text

Title

Elements of C*-algebras commuting with their Moore-Penrose inverse

Authors 1

Affiliations

  1. Department of Mathematics and Statistics, The University of Melbourne Melbourne, VIC 3010, Australia.

Abstract

We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.

Keywords

ENG
C*-algebra, Moore-Penrose inverse, Drazin inverse

Bibliography

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Studia Mathematica
2000/139/1
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Pages:
81-90
Main language of publication
English
Received
1999-03-23
Accepted
2000-01-28
Published
2000
Exact and natural sciences