Resumo

BOASSO, Enrico. Moore-Penrose inverse and doubly commuting elements in C*-algebras. Rev. Unión Mat. Argent. [online]. 2005, vol.46, n.2, pp.35-44. ISSN 0041-6932.

In this work it is proved that the Moore-Penrose inverse of the product of -doubly commuting regular -algebra elements obeys the so-called reverse order law. Conversely, conditions regarding the reverse order law of the Moore-Penrose inverse are given in order to characterize when -regular elements doubly commute. Furthermore, applications of the main results of this article to normal -algebra elements, to Hilbert space operators and to Calkin algebras will be considered.

Palavras-chave : Generalized inverse; Moore-Penrose inverse, and doubly commuting elements in a -algebra.

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