On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces
[EN] For two given Hilbert spaces H and K and a given bounded linear operator A is an element of L(H, K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G is an element of L ( K; H) of A which is both minimum norm and least squares. In this paper, w...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/102336 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/102336 |
| Access Level: | acceso abierto |
| Palavra-chave: | Generalized inverses Moore-Penrose inverse g-inverse EP operator MATEMATICA APLICADA |
| Resumo: | [EN] For two given Hilbert spaces H and K and a given bounded linear operator A is an element of L(H, K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G is an element of L ( K; H) of A which is both minimum norm and least squares. In this paper, weaker equivalent conditions for an operator G to be the Moore-Penrose inverse of A are investigated in terms of normal, EP, bi-normal, bi-EP, l-quasi-normal and r-quasi-normal and l-quasi-EP and r-quasi-EP operators. |
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