On the matrix Cauchy-Schwarz inequality

Autores
Sababheh, Mohammad; Conde, Cristian Marcelo; Reza Moradi, Hamid
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Reza Moradi, Hamid. Islamic Azad University; Irán.
Abstract. The main goal of this work is to present new matrix inequalities of Cauchy-Schwarz type. In particular, we investigate the so-called Lieb functions, whose definition came as an umbrella of Cauchy-Schwarz-like inequalities, then we consider the mixed Cauchy-Schwarz inequality. This latter inequality has been influential in obtaining several other matrix inequalities, including numerical radius and norm results. Among many other results, we show that T 1 4 (|T|+|T∗|+2RT+|T|+|T∗| −2RT), where RT is the real part of the matrix T .
Fuente
Operators and Matrices. 2023; 17(2): 525–538
Materia
Lieb Functions
Operator Inequality
Cauchy-Schwarz Inequality
Matemáticas
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/2722
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/2722
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling On the matrix Cauchy-Schwarz inequalitySababheh, MohammadConde, Cristian MarceloReza Moradi, HamidLieb FunctionsOperator InequalityCauchy-Schwarz InequalityMatemáticasRevista con referatoFil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Reza Moradi, Hamid. Islamic Azad University; Irán.Abstract. The main goal of this work is to present new matrix inequalities of Cauchy-Schwarz type. In particular, we investigate the so-called Lieb functions, whose definition came as an umbrella of Cauchy-Schwarz-like inequalities, then we consider the mixed Cauchy-Schwarz inequality. This latter inequality has been influential in obtaining several other matrix inequalities, including numerical radius and norm results. Among many other results, we show that T 1 4 (|T|+|T∗|+2RT+|T|+|T∗| −2RT), where RT is the real part of the matrix T .ELEMENT2026-01-15T10:08:03Z2026-01-15T10:08:03Z2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfSababheh, M., Conde, C. M. y Reza Moradi, H. (2023). On the matrix Cauchy-Schwarz inequality. Operators and Matrices, 17(2), 525–538.1846-3886http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2722Operators and Matrices. 2023; 17(2): 525–538reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoengdx.doi.org/10.7153/oam-2023-17-34info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2026-02-26T15:03:01Zoai:repositorio.ungs.edu.ar:UNGS/2722instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2026-02-26 15:03:01.932Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv On the matrix Cauchy-Schwarz inequality
title On the matrix Cauchy-Schwarz inequality
spellingShingle On the matrix Cauchy-Schwarz inequality
Sababheh, Mohammad
Lieb Functions
Operator Inequality
Cauchy-Schwarz Inequality
Matemáticas
title_short On the matrix Cauchy-Schwarz inequality
title_full On the matrix Cauchy-Schwarz inequality
title_fullStr On the matrix Cauchy-Schwarz inequality
title_full_unstemmed On the matrix Cauchy-Schwarz inequality
title_sort On the matrix Cauchy-Schwarz inequality
dc.creator.none.fl_str_mv Sababheh, Mohammad
Conde, Cristian Marcelo
Reza Moradi, Hamid
author Sababheh, Mohammad
author_facet Sababheh, Mohammad
Conde, Cristian Marcelo
Reza Moradi, Hamid
author_role author
author2 Conde, Cristian Marcelo
Reza Moradi, Hamid
author2_role author
author
dc.subject.none.fl_str_mv Lieb Functions
Operator Inequality
Cauchy-Schwarz Inequality
Matemáticas
topic Lieb Functions
Operator Inequality
Cauchy-Schwarz Inequality
Matemáticas
dc.description.none.fl_txt_mv Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Reza Moradi, Hamid. Islamic Azad University; Irán.
Abstract. The main goal of this work is to present new matrix inequalities of Cauchy-Schwarz type. In particular, we investigate the so-called Lieb functions, whose definition came as an umbrella of Cauchy-Schwarz-like inequalities, then we consider the mixed Cauchy-Schwarz inequality. This latter inequality has been influential in obtaining several other matrix inequalities, including numerical radius and norm results. Among many other results, we show that T 1 4 (|T|+|T∗|+2RT+|T|+|T∗| −2RT), where RT is the real part of the matrix T .
description Revista con referato
publishDate 2023
dc.date.none.fl_str_mv 2023
2026-01-15T10:08:03Z
2026-01-15T10:08:03Z
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 Sababheh, M., Conde, C. M. y Reza Moradi, H. (2023). On the matrix Cauchy-Schwarz inequality. Operators and Matrices, 17(2), 525–538.
1846-3886
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2722
identifier_str_mv Sababheh, M., Conde, C. M. y Reza Moradi, H. (2023). On the matrix Cauchy-Schwarz inequality. Operators and Matrices, 17(2), 525–538.
1846-3886
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2722
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv dx.doi.org/10.7153/oam-2023-17-34
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 ELEMENT
publisher.none.fl_str_mv ELEMENT
dc.source.none.fl_str_mv Operators and Matrices. 2023; 17(2): 525–538
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 12.665996

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