λ-Aluthge transforms and schatten ideals
Let T∈ L(H), and let T=U|T|= |T*| U be the polar decomposition of T . Then, for every λ∈[0,1], the λ-Aluthge transform is defined by D λ (T )= |T| l U|T| 1-λ . We show that several properties which are known for the usual Aluthge transform (i.e. the case λ =1/ 2) also hold for λ -Aluthge transforms...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/104300 |
| Acesso em linha: | http://hdl.handle.net/11336/104300 |
| Access Level: | acceso abierto |
| Palavra-chave: | ALUTHGE TRANSFORM SCHATTEN NORMS RIESZ CALCULUS POLAR DECOMPOSITION https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | Let T∈ L(H), and let T=U|T|= |T*| U be the polar decomposition of T . Then, for every λ∈[0,1], the λ-Aluthge transform is defined by D λ (T )= |T| l U|T| 1-λ . We show that several properties which are known for the usual Aluthge transform (i.e. the case λ =1/ 2) also hold for λ -Aluthge transforms with λ∈ (0,1) . Moreover, we get several results which are new, even for the usual Aluthge transform. |
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