A note on the differentiable structure of generalized idempotents
For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such that Tn−1 = T (known as generalized projections) are studied. The local smoot...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/3337 |
| Acceso en línea: | http://hdl.handle.net/11336/3337 |
| Access Level: | acceso abierto |
| Palabra clave: | Idempotent Moore Penrose Inverse https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such that Tn−1 = T (known as generalized projections) are studied. The local smooth structure of these sets is examined. |
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