Generalized inverses in C*-algebras
Article
Maher, P. 2006. Generalized inverses in C*-algebras. Rendiconti del Circolo Matematico di Palermo. 55 (2), pp. 441-448. https://doi.org/10.1007/BF02874781
Type | Article |
---|---|
Title | Generalized inverses in C*-algebras |
Authors | Maher, P. |
Abstract | In this paper we present the elementary theory of generalized inverses in the context of C*-algebras. We recapture and, where necessary, modify some of the well-known results of [6], [7]. The methods are, of course, algebraic rather than geometric: there can be no references to ranges or kernels. For this reason we are unable to demonstrate the existence of the Moore-Penrose inverse (and hence the existence of generalized inverses): although we are able to give a criterion, (Theorem 3), a variant of Penrose's [6, Theorem 1] for there to be no. more than one generalized inverse. Other results are recaptured in this setting. |
Publisher | Springer |
Journal | Rendiconti del Circolo Matematico di Palermo |
ISSN | 0009-725X |
Publication dates | |
30 Jan 2006 | |
Publication process dates | |
Deposited | 24 Oct 2008 |
Output status | Published |
Digital Object Identifier (DOI) | https://doi.org/10.1007/BF02874781 |
Language | English |
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