The set of partial isometries as a quotient Finsler space
- Autores
- Andruchow, Esteban
- Año de publicación
- 2022
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Andruchow, Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática "Alberto P. Calderón"; Argentina.
A known general program, designed to endow the quotient space UA/UB of the unitary groups UA, UB of the C∗ algebras B ⊂ A with an invariant Finsler metric, is applied to obtain a metric for the space I(H) of partial isometries of a Hilbert space H. I(H) is a quotient of the unitary group of B(H) × B(H), where B(H) is the algebra of bounded linear operators in H. Under this program, the solution of a linear best approximation problem leads to the computation of minimal geodesics in the quotient space. We find solutions of this best approximation problem, and study properties of the minimal geodesics obtained. - Fuente
- Indagationes Mathematicae-new Series. 2-2022; 33(4): 736-752
https://www.sciencedirect.com/journal/indagationes-mathematicae/vol/33/issue/4 - Materia
-
Partial isometries
Finsler metric
Minimal curves - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/4.0/
- Repositorio
- Institución
- Universidad Nacional de General Sarmiento
- OAI Identificador
- oai:repositorio.ungs.edu.ar:UNGS/1815
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The set of partial isometries as a quotient Finsler spaceAndruchow, EstebanPartial isometriesFinsler metricMinimal curvesFil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Andruchow, Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática "Alberto P. Calderón"; Argentina.A known general program, designed to endow the quotient space UA/UB of the unitary groups UA, UB of the C∗ algebras B ⊂ A with an invariant Finsler metric, is applied to obtain a metric for the space I(H) of partial isometries of a Hilbert space H. I(H) is a quotient of the unitary group of B(H) × B(H), where B(H) is the algebra of bounded linear operators in H. Under this program, the solution of a linear best approximation problem leads to the computation of minimal geodesics in the quotient space. We find solutions of this best approximation problem, and study properties of the minimal geodesics obtained.Elsevier Science2024-12-23T14:30:41Z2024-12-23T14:30:41Z2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfAndruchow, E. (2022). The set of partial isometries as a quotient Finsler space. Indagationes Mathematicae-new Series, 33(4), 736-752.0019-3577http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1815Indagationes Mathematicae-new Series. 2-2022; 33(4): 736-752https://www.sciencedirect.com/journal/indagationes-mathematicae/vol/33/issue/4reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttps://doi.org/10.1016/j.indag.2022.02.003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2025-09-29T15:01:54Zoai:repositorio.ungs.edu.ar:UNGS/1815instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2025-09-29 15:01:54.394Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse |
dc.title.none.fl_str_mv |
The set of partial isometries as a quotient Finsler space |
title |
The set of partial isometries as a quotient Finsler space |
spellingShingle |
The set of partial isometries as a quotient Finsler space Andruchow, Esteban Partial isometries Finsler metric Minimal curves |
title_short |
The set of partial isometries as a quotient Finsler space |
title_full |
The set of partial isometries as a quotient Finsler space |
title_fullStr |
The set of partial isometries as a quotient Finsler space |
title_full_unstemmed |
The set of partial isometries as a quotient Finsler space |
title_sort |
The set of partial isometries as a quotient Finsler space |
dc.creator.none.fl_str_mv |
Andruchow, Esteban |
author |
Andruchow, Esteban |
author_facet |
Andruchow, Esteban |
author_role |
author |
dc.subject.none.fl_str_mv |
Partial isometries Finsler metric Minimal curves |
topic |
Partial isometries Finsler metric Minimal curves |
dc.description.none.fl_txt_mv |
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Andruchow, Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática "Alberto P. Calderón"; Argentina. A known general program, designed to endow the quotient space UA/UB of the unitary groups UA, UB of the C∗ algebras B ⊂ A with an invariant Finsler metric, is applied to obtain a metric for the space I(H) of partial isometries of a Hilbert space H. I(H) is a quotient of the unitary group of B(H) × B(H), where B(H) is the algebra of bounded linear operators in H. Under this program, the solution of a linear best approximation problem leads to the computation of minimal geodesics in the quotient space. We find solutions of this best approximation problem, and study properties of the minimal geodesics obtained. |
description |
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022 2024-12-23T14:30:41Z 2024-12-23T14:30:41Z |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
Andruchow, E. (2022). The set of partial isometries as a quotient Finsler space. Indagationes Mathematicae-new Series, 33(4), 736-752. 0019-3577 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1815 |
identifier_str_mv |
Andruchow, E. (2022). The set of partial isometries as a quotient Finsler space. Indagationes Mathematicae-new Series, 33(4), 736-752. 0019-3577 |
url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1815 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://doi.org/10.1016/j.indag.2022.02.003 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
dc.source.none.fl_str_mv |
Indagationes Mathematicae-new Series. 2-2022; 33(4): 736-752 https://www.sciencedirect.com/journal/indagationes-mathematicae/vol/33/issue/4 reponame:Repositorio Institucional UNGS instname:Universidad Nacional de General Sarmiento |
reponame_str |
Repositorio Institucional UNGS |
collection |
Repositorio Institucional UNGS |
instname_str |
Universidad Nacional de General Sarmiento |
repository.name.fl_str_mv |
Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento |
repository.mail.fl_str_mv |
ubyd@campus.ungs.edu.ar |
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1844623309851852800 |
score |
12.559606 |