Schatten p-Norm related to some Transforms of Operators

Autores
Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Stankovic, Hranislav
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper explores the p-Schatten norm and various operator transforms, including the λ-Aluthge, Duggal, generalized mean, and λ-mean transforms. The study investigates the relationship between these transforms and an operator T in terms of the p-Schatten norm. Furthermore, it examines the conditions under which an operator T is equal to its transformed counterparts in the p-Schatten norm. The paper also presents several characterizationsand properties relevant to these topics. Lastly, it discusses Schatten norms andequality conditions specifically for the case of p = 1.
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: Stankovic, Hranislav. University Of Nis; Serbia
Materia
p-Schatten norm
Operator transforms
λ-Aluthge transform
Duggal transform
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:11336/274759
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/274759
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Schatten p-Norm related to some Transforms of OperatorsAltwaijry, NajlaConde, Cristian MarceloFeki, KaisStankovic, Hranislavp-Schatten normOperator transformsλ-Aluthge transformDuggal transformhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper explores the p-Schatten norm and various operator transforms, including the λ-Aluthge, Duggal, generalized mean, and λ-mean transforms. The study investigates the relationship between these transforms and an operator T in terms of the p-Schatten norm. Furthermore, it examines the conditions under which an operator T is equal to its transformed counterparts in the p-Schatten norm. The paper also presents several characterizationsand properties relevant to these topics. Lastly, it discusses Schatten norms andequality conditions specifically for the case of p = 1.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: Stankovic, Hranislav. University Of Nis; SerbiaAmerican Institute of Mathematical Sciences2024-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/274759Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Stankovic, Hranislav; Schatten p-Norm related to some Transforms of Operators; American Institute of Mathematical Sciences; Communications On Pure And Applied Analysis; 23; 12; 11-2024; 1990-20041534-0392CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org//article/doi/10.3934/cpaa.2024078info:eu-repo/semantics/altIdentifier/doi/10.3934/cpaa.2024078info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-23T14:15:29Zoai:ri.conicet.gov.ar:11336/274759instacron: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:34982025-12-23 14:15:29.62CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Schatten p-Norm related to some Transforms of Operators
title Schatten p-Norm related to some Transforms of Operators
spellingShingle Schatten p-Norm related to some Transforms of Operators
Altwaijry, Najla
p-Schatten norm
Operator transforms
λ-Aluthge transform
Duggal transform
title_short Schatten p-Norm related to some Transforms of Operators
title_full Schatten p-Norm related to some Transforms of Operators
title_fullStr Schatten p-Norm related to some Transforms of Operators
title_full_unstemmed Schatten p-Norm related to some Transforms of Operators
title_sort Schatten p-Norm related to some Transforms of Operators
dc.creator.none.fl_str_mv Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Stankovic, Hranislav
author Altwaijry, Najla
author_facet Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Stankovic, Hranislav
author_role author
author2 Conde, Cristian Marcelo
Feki, Kais
Stankovic, Hranislav
author2_role author
author
author
dc.subject.none.fl_str_mv p-Schatten norm
Operator transforms
λ-Aluthge transform
Duggal transform
topic p-Schatten norm
Operator transforms
λ-Aluthge transform
Duggal transform
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper explores the p-Schatten norm and various operator transforms, including the λ-Aluthge, Duggal, generalized mean, and λ-mean transforms. The study investigates the relationship between these transforms and an operator T in terms of the p-Schatten norm. Furthermore, it examines the conditions under which an operator T is equal to its transformed counterparts in the p-Schatten norm. The paper also presents several characterizationsand properties relevant to these topics. Lastly, it discusses Schatten norms andequality conditions specifically for the case of p = 1.
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: Stankovic, Hranislav. University Of Nis; Serbia
description This paper explores the p-Schatten norm and various operator transforms, including the λ-Aluthge, Duggal, generalized mean, and λ-mean transforms. The study investigates the relationship between these transforms and an operator T in terms of the p-Schatten norm. Furthermore, it examines the conditions under which an operator T is equal to its transformed counterparts in the p-Schatten norm. The paper also presents several characterizationsand properties relevant to these topics. Lastly, it discusses Schatten norms andequality conditions specifically for the case of p = 1.
publishDate 2024
dc.date.none.fl_str_mv 2024-11
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/11336/274759
Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Stankovic, Hranislav; Schatten p-Norm related to some Transforms of Operators; American Institute of Mathematical Sciences; Communications On Pure And Applied Analysis; 23; 12; 11-2024; 1990-2004
1534-0392
CONICET Digital
CONICET
url http://hdl.handle.net/11336/274759
identifier_str_mv Altwaijry, Najla; Conde, Cristian Marcelo; Feki, Kais; Stankovic, Hranislav; Schatten p-Norm related to some Transforms of Operators; American Institute of Mathematical Sciences; Communications On Pure And Applied Analysis; 23; 12; 11-2024; 1990-2004
1534-0392
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://www.aimsciences.org//article/doi/10.3934/cpaa.2024078
info:eu-repo/semantics/altIdentifier/doi/10.3934/cpaa.2024078
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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 12.952241

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