Please use this identifier to cite or link to this item: http://hdl.handle.net/10662/17444
Title: On the Moore-Penrose inverse in C*-algebras
Authors: Boasso, Enrico
Keywords: Algebras;Algebra
Issue Date: 2006
Publisher: Universidad de Extremadura, Servicio de Publicaciones
Abstract: In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-calle reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are intro- duced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra setting. Furthermore, it Will be proved that an element is normal and Moore-Penrose hermitian if and only if it is a hermitian partial isometry.
URI: http://hdl.handle.net/10662/17444
ISSN: 0213-8743
Appears in Collections:Extracta Mathematicae Vol. 21, nº 2 (2006)

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