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: Antezana, Jorge Abel, Massey, Pedro Gustavo, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Matemática
Aluthge transform
Polar decomposition
Riesz calculus
Schatten norms
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83154
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83154
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Aluthge transform
Polar decomposition
Riesz calculus
Schatten norms
spellingShingle Matemática
Aluthge transform
Polar decomposition
Riesz calculus
Schatten norms
Antezana, Jorge Abel
Massey, Pedro Gustavo
Stojanoff, Demetrio
λ-Aluthge transforms and Schatten ideals
topic_facet Matemática
Aluthge transform
Polar decomposition
Riesz calculus
Schatten norms
description 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.
format Articulo
Articulo
author Antezana, Jorge Abel
Massey, Pedro Gustavo
Stojanoff, Demetrio
author_facet Antezana, Jorge Abel
Massey, Pedro Gustavo
Stojanoff, Demetrio
author_sort Antezana, Jorge Abel
title λ-Aluthge transforms and Schatten ideals
title_short λ-Aluthge transforms and Schatten ideals
title_full λ-Aluthge transforms and Schatten ideals
title_fullStr λ-Aluthge transforms and Schatten ideals
title_full_unstemmed λ-Aluthge transforms and Schatten ideals
title_sort λ-aluthge transforms and schatten ideals
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/83154
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AT masseypedrogustavo laluthgetransformsandschattenideals
AT stojanoffdemetrio laluthgetransformsandschattenideals
bdutipo_str Repositorios
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