EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 78(92), pp. 127–133 (2005)

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ON THE OPERATOR EQUATIONS $ABA=A^2$ AND $BAB=B^2$

Christoph Schmoeger

Mathematisches Institut I, Universität Karlsruhe (TH), Englerstrasse 2, 76128 Karlsruhe, Germany

Abstract: We generalize a result of I. Vidav concerning the operator equations $ABA=A^2$ and $BAB=B^2$.

Keywords: selfadjoint operator; Drazin inverse

Classification (MSC2000): 47A05

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Electronic fulltext finalized on: 2 Mar 2006. This page was last modified: 27 Oct 2006.

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