Bilateral shorted operators and parallel sums

In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be de...

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Autores principales: Antezana, Jorge Abel, Corach, Gustavo, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83102
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83102
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
spellingShingle Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
Bilateral shorted operators and parallel sums
topic_facet Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
description In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context.
format Articulo
Articulo
author Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_facet Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_sort Antezana, Jorge Abel
title Bilateral shorted operators and parallel sums
title_short Bilateral shorted operators and parallel sums
title_full Bilateral shorted operators and parallel sums
title_fullStr Bilateral shorted operators and parallel sums
title_full_unstemmed Bilateral shorted operators and parallel sums
title_sort bilateral shorted operators and parallel sums
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/83102
work_keys_str_mv AT antezanajorgeabel bilateralshortedoperatorsandparallelsums
AT corachgustavo bilateralshortedoperatorsandparallelsums
AT stojanoffdemetrio bilateralshortedoperatorsandparallelsums
bdutipo_str Repositorios
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