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
Repositorio Institucional UNGS
Institución
Universidad Nacional de General Sarmiento
OAI Identificador
oai:repositorio.ungs.edu.ar:UNGS/1815
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/1815
network_acronym_str RIUNGS
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network_name_str Repositorio Institucional UNGS
spelling 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/4.0/2025-10-16T15:29:14Zoai: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:2025-10-16 15:29:15.201Repositorio 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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score 12.375692

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