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INICIO |
27 de julio de 2024
On the Moore-Penrose inverse in C*-algebras.
| Título inglés | On the Moore-Penrose inverse in C*-algebras. |
|---|---|
| Título español | Sobre el inverso Moore-Penrose en C*-álgebras. |
| Autor/es | Boasso, Enrico |
| Organización | Trieste, Italia |
| Revista | 0213-8743 |
| Publicación | 2006, 21 (2): 93-106, 18 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | 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-called 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 introduced 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. |
| Clasificación UNESCO | 120201 |
| Palabras clave español | Algebra de operadores ; C*-álgebras |
| Código MathReviews | MR2292742 |
| Código Z-Math | Zbl pre05174072 |
 Acceso al artículo completo |
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