Geodesic
Elements of C*-algebras commuting with their Moore-Penrose inverse
Studia Mathematica, Tome 139 (2000) no. 1, pp. 81-90
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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.
DOI : 10.4064/sm-139-1-81-90
Keywords: C*-algebra, Moore-Penrose inverse, Drazin inverse 
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J. J. Koliha. Elements of C*-algebras commuting with their Moore-Penrose inverse. Studia Mathematica, Tome 139 (2000) no. 1, pp. 81-90. doi: 10.4064/sm-139-1-81-90

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