Spectral Shorted Operators

If H is a Hilbert space, S ⊆ H is a closed subspace of H, and A is a positive bounded linear operator on H, the spectral shorted operator ρ(S, A) is defined as the infimum of the sequence Σ(S, An ) 1/n, where Σ(S, B) denotes the shorted operator of B to S. We characterize the left spectral resolutio...

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Autores principales: Antezana, Jorge Abel, Corach, Gustavo, Stojanoff, Demetrio
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2006
Materias:
Matemática
Shorted operator
Spectral order
Positive operators
Spectral resolutions
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129289
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129289
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Shorted operator
Spectral order
Positive operators
Spectral resolutions
spellingShingle Matemática
Shorted operator
Spectral order
Positive operators
Spectral resolutions
Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
Spectral Shorted Operators
topic_facet Matemática
Shorted operator
Spectral order
Positive operators
Spectral resolutions
description If H is a Hilbert space, S ⊆ H is a closed subspace of H, and A is a positive bounded linear operator on H, the spectral shorted operator ρ(S, A) is defined as the infimum of the sequence Σ(S, An ) 1/n, where Σ(S, B) denotes the shorted operator of B to S. We characterize the left spectral resolution of ρ(S, A) and show several properties of this operator, particularly in the case that dim S = 1. We use these results to generalize the concept of Kolmogorov complexity for the infinite dimesional case and for non invertible operators.
format Articulo
Preprint
author Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_facet Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_sort Antezana, Jorge Abel
title Spectral Shorted Operators
title_short Spectral Shorted Operators
title_full Spectral Shorted Operators
title_fullStr Spectral Shorted Operators
title_full_unstemmed Spectral Shorted Operators
title_sort spectral shorted operators
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/129289
work_keys_str_mv AT antezanajorgeabel spectralshortedoperators
AT corachgustavo spectralshortedoperators
AT stojanoffdemetrio spectralshortedoperators
bdutipo_str Repositorios
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