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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Detalles Bibliográficos
Autores principales: Antezana, J., Corach, G., Stojanoff, D.
Formato: JOUR
Materias:
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Linear algebra
Mathematical models
Parallel algorithms
Problem solving
Mathematical operators
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00243795_v414_n2-3_p570_Antezana
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00243795_v414_n2-3_p570_Antezana
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spelling todo:paper_00243795_v414_n2-3_p570_Antezana2023-10-03T14:34:45Z Bilateral shorted operators and parallel sums Antezana, J. Corach, G. Stojanoff, D. Minus order Parallel subtraction Parallel sum Schur complements Shorted operators Minus order Parallel subtraction Parallel sum Schur complements Shorted operators Linear algebra Mathematical models Parallel algorithms Problem solving Mathematical operators 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. © 2005 Elsevier Inc. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00243795_v414_n2-3_p570_Antezana
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Linear algebra
Mathematical models
Parallel algorithms
Problem solving
Mathematical operators
spellingShingle Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Linear algebra
Mathematical models
Parallel algorithms
Problem solving
Mathematical operators
Antezana, J.
Corach, G.
Stojanoff, D.
Bilateral shorted operators and parallel sums
topic_facet Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Linear algebra
Mathematical models
Parallel algorithms
Problem solving
Mathematical 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. © 2005 Elsevier Inc. All rights reserved.
format JOUR
author Antezana, J.
Corach, G.
Stojanoff, D.
author_facet Antezana, J.
Corach, G.
Stojanoff, D.
author_sort Antezana, J.
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
url http://hdl.handle.net/20.500.12110/paper_00243795_v414_n2-3_p570_Antezana
work_keys_str_mv AT antezanaj bilateralshortedoperatorsandparallelsums
AT corachg bilateralshortedoperatorsandparallelsums
AT stojanoffd bilateralshortedoperatorsandparallelsums
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