On closed range operators and their characterization via p-Schatten ideals

Autores
Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Furuichi, Shigeru
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let S and T be two closed-range bounded linear operators defined on a complex Hilbert space H . The main objective of this paper is to investigate the conditions under which the equality involving the p-Schatten norm, a specific case of symmetric or unitarily invariant norms, holds: S∗XT† +S†XT∗p = 2PXQp, for any X ∈ B(H ), where P = SS† and Q = T†T with 1 < p < ∞. Here, S† and T† denote the Moore-Penrose inverses of S and T , respectively.
Fil: Altwaijry, Najla. King Saud University; Arabia Saudita
Fil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Feki, Kais. University Of Sfax; Túnez
Fil: Furuichi, Shigeru. Nihon University; Japón
Materia
Closed range operators
Schatten p-class
Moore-Penrose pseudoinverse
operator inequalities
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/279622
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/279622
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On closed range operators and their characterization via p-Schatten idealsAltwaijry, NajlaConde, Cristian MarceloFeki, KaisFuruichi, ShigeruClosed range operatorsSchatten p-classMoore-Penrose pseudoinverseoperator inequalitieshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let S and T be two closed-range bounded linear operators defined on a complex Hilbert space H . The main objective of this paper is to investigate the conditions under which the equality involving the p-Schatten norm, a specific case of symmetric or unitarily invariant norms, holds: S∗XT† +S†XT∗p = 2PXQp, for any X ∈ B(H ), where P = SS† and Q = T†T with 1 < p < ∞. Here, S† and T† denote the Moore-Penrose inverses of S and T , respectively.Fil: Altwaijry, Najla. King Saud University; Arabia SauditaFil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Feki, Kais. University Of Sfax; TúnezFil: Furuichi, Shigeru. Nihon University; JapónElement2025-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279622Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Furuichi, Shigeru; On closed range operators and their characterization via p-Schatten ideals; Element; Operators and Matrices; 2; 7-2025; 183-1951846-3886CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://oam.ele-math.com/19-12info:eu-repo/semantics/altIdentifier/doi/10.7153/oam-2025-19-12info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:10:38Zoai:ri.conicet.gov.ar:11336/279622instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-02-26 10:10:38.943CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On closed range operators and their characterization via p-Schatten ideals
title On closed range operators and their characterization via p-Schatten ideals
spellingShingle On closed range operators and their characterization via p-Schatten ideals
Altwaijry, Najla
Closed range operators
Schatten p-class
Moore-Penrose pseudoinverse
operator inequalities
title_short On closed range operators and their characterization via p-Schatten ideals
title_full On closed range operators and their characterization via p-Schatten ideals
title_fullStr On closed range operators and their characterization via p-Schatten ideals
title_full_unstemmed On closed range operators and their characterization via p-Schatten ideals
title_sort On closed range operators and their characterization via p-Schatten ideals
dc.creator.none.fl_str_mv Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Furuichi, Shigeru
author Altwaijry, Najla
author_facet Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Furuichi, Shigeru
author_role author
author2 Conde, Cristian Marcelo
Feki, Kais
Furuichi, Shigeru
author2_role author
author
author
dc.subject.none.fl_str_mv Closed range operators
Schatten p-class
Moore-Penrose pseudoinverse
operator inequalities
topic Closed range operators
Schatten p-class
Moore-Penrose pseudoinverse
operator inequalities
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let S and T be two closed-range bounded linear operators defined on a complex Hilbert space H . The main objective of this paper is to investigate the conditions under which the equality involving the p-Schatten norm, a specific case of symmetric or unitarily invariant norms, holds: S∗XT† +S†XT∗p = 2PXQp, for any X ∈ B(H ), where P = SS† and Q = T†T with 1 < p < ∞. Here, S† and T† denote the Moore-Penrose inverses of S and T , respectively.
Fil: Altwaijry, Najla. King Saud University; Arabia Saudita
Fil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Feki, Kais. University Of Sfax; Túnez
Fil: Furuichi, Shigeru. Nihon University; Japón
description Let S and T be two closed-range bounded linear operators defined on a complex Hilbert space H . The main objective of this paper is to investigate the conditions under which the equality involving the p-Schatten norm, a specific case of symmetric or unitarily invariant norms, holds: S∗XT† +S†XT∗p = 2PXQp, for any X ∈ B(H ), where P = SS† and Q = T†T with 1 < p < ∞. Here, S† and T† denote the Moore-Penrose inverses of S and T , respectively.
publishDate 2025
dc.date.none.fl_str_mv 2025-07
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 http://hdl.handle.net/11336/279622
Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Furuichi, Shigeru; On closed range operators and their characterization via p-Schatten ideals; Element; Operators and Matrices; 2; 7-2025; 183-195
1846-3886
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279622
identifier_str_mv Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Furuichi, Shigeru; On closed range operators and their characterization via p-Schatten ideals; Element; Operators and Matrices; 2; 7-2025; 183-195
1846-3886
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://oam.ele-math.com/19-12
info:eu-repo/semantics/altIdentifier/doi/10.7153/oam-2025-19-12
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Element
publisher.none.fl_str_mv Element
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.176822

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