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...
Guardado en:
Autores principales: | , , |
---|---|
Formato: | Articulo Preprint |
Lenguaje: | Inglés |
Publicado: |
2006
|
Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/129289 |
Aporte de: |
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 |
_version_ |
1764820452283252736 |