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

100%

Koliha J. J.

Studia Mathematica

2000

tom 139

nr 1

81-90

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.

Corrigendum and addendum: "On the axiomatic theory of spectrum II"

51%

Koliha J. J., Mbekhta M., Müller V., Poon P. W.

Studia Mathematica

1998

tom 130

nr 2

193-198

The main purpose of this paper is to correct the proof of Theorem 15 of [4], concerned with the stability of the class of quasi-Fredholm operators under finite rank perturbations, and to answer some open questions raised there.

Ograniczanie wyników

2 Studia Mathematica

2 Koliha J. J.

1 Mbekhta M.

1 Müller V.

1 Poon P. W.

1 2000

1 1998

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

Corrigendum and addendum: "On the axiomatic theory of spectrum II"