Commutant properties of W-core inverses
[EN] In this paper, we investigate commutant properties of the w-core inverse in a *-semigroup. Among these, it is shown that waw#a = awaw# if and only if a is equal projection (EP) with a# = a dagger = waw#, where a and w are elements of a *-semigroup. As applications, equivalent conditions such th...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Barcelona (UB) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/220934 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/220934 |
| Access Level: | acceso abierto |
| Palabra clave: | W-core inverses Inverses along an element EP elements Moore-Penrose inverses Commutant properties |
| Sumario: | [EN] In this paper, we investigate commutant properties of the w-core inverse in a *-semigroup. Among these, it is shown that waw#a = awaw# if and only if a is equal projection (EP) with a# = a dagger = waw#, where a and w are elements of a *-semigroup. As applications, equivalent conditions such that a core invertible element is an EP element are given. Then, commutant properties of the w-core inverse for complex matrices are correspondingly given. Finally, some results on double commutants and the reverse order law for w-core inverses are given. |
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