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 Δλ(T) = |T|λU|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...
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| Autores principales: | , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2005
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83154 |
| Aporte de: |
| Sumario: | 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 Δλ(T) = |T|λU|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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