Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices

Autores
Burqan, Aliaa; Conde, Cristian Marcelo; Alkhalely, Saeed
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: Burqan, Aliaa. Zarqa University. Department of Mathematics; Jordan.
Fil: Alkhalely, Saeed. Middle East University. Department of Basic Sciences; Jordan.
In this paper, we introduce several numerical radius inequalities involving off-diagonal part of 2 × 2 positive semidefinite block matrices and their diagonal blocks. It is shown that if A, B,C ∈ Mn(C) are such that [A B* B C] ≥ 0, then w2r(B) ≤ 1/2 √||A4rα + A4r(1−α)|| ||C4rα + C4r(1−α)|| , and w2r(B) ≤ ||αA r/α + (1 − α)C r/1−α , for 0 < α < 1, r ≥ 1. Moreover, we establish some numerical radius inequalities for products and sums of matrices.
Fuente
Filomat. 2023; 37(19): 6355-6363
Materia
Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm
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/2721
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/2721
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matricesBurqan, AliaaConde, Cristian MarceloAlkhalely, SaeedPositive semidefinite matrixBlock matrixNumerical radiusOperator normMatemáticasRevista 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: Burqan, Aliaa. Zarqa University. Department of Mathematics; Jordan.Fil: Alkhalely, Saeed. Middle East University. Department of Basic Sciences; Jordan.In this paper, we introduce several numerical radius inequalities involving off-diagonal part of 2 × 2 positive semidefinite block matrices and their diagonal blocks. It is shown that if A, B,C ∈ Mn(C) are such that [A B* B C] ≥ 0, then w2r(B) ≤ 1/2 √||A4rα + A4r(1−α)|| ||C4rα + C4r(1−α)|| , and w2r(B) ≤ ||αA r/α + (1 − α)C r/1−α , for 0 < α < 1, r ≥ 1. Moreover, we establish some numerical radius inequalities for products and sums of matrices.Faculty of Sciences and Mathematics. Department of Mathematics2026-01-15T10:08:02Z2026-01-15T10:08:02Z2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfConde, C. M., Burqan, A. y Alkhalely, S. (2023). Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices. Filomat, 37(19), 6355-6363.0354-5180http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2721Filomat. 2023; 37(19): 6355-6363reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttps://doi.org/10.2298/FIL2319355Binfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2026-02-26T15:02:47Zoai:repositorio.ungs.edu.ar:UNGS/2721instacron: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 15:02:47.807Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
title Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
spellingShingle Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
Burqan, Aliaa
Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm
Matemáticas
title_short Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
title_full Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
title_fullStr Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
title_full_unstemmed Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
title_sort Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
dc.creator.none.fl_str_mv Burqan, Aliaa
Conde, Cristian Marcelo
Alkhalely, Saeed
author Burqan, Aliaa
author_facet Burqan, Aliaa
Conde, Cristian Marcelo
Alkhalely, Saeed
author_role author
author2 Conde, Cristian Marcelo
Alkhalely, Saeed
author2_role author
author
dc.subject.none.fl_str_mv Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm
Matemáticas
topic Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm
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: Burqan, Aliaa. Zarqa University. Department of Mathematics; Jordan.
Fil: Alkhalely, Saeed. Middle East University. Department of Basic Sciences; Jordan.
In this paper, we introduce several numerical radius inequalities involving off-diagonal part of 2 × 2 positive semidefinite block matrices and their diagonal blocks. It is shown that if A, B,C ∈ Mn(C) are such that [A B* B C] ≥ 0, then w2r(B) ≤ 1/2 √||A4rα + A4r(1−α)|| ||C4rα + C4r(1−α)|| , and w2r(B) ≤ ||αA r/α + (1 − α)C r/1−α , for 0 < α < 1, r ≥ 1. Moreover, we establish some numerical radius inequalities for products and sums of matrices.
description Revista con referato
publishDate 2023
dc.date.none.fl_str_mv 2023
2026-01-15T10:08:02Z
2026-01-15T10:08:02Z
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 Conde, C. M., Burqan, A. y Alkhalely, S. (2023). Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices. Filomat, 37(19), 6355-6363.
0354-5180
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2721
identifier_str_mv Conde, C. M., Burqan, A. y Alkhalely, S. (2023). Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices. Filomat, 37(19), 6355-6363.
0354-5180
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2721
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.2298/FIL2319355B
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 Faculty of Sciences and Mathematics. Department of Mathematics
publisher.none.fl_str_mv Faculty of Sciences and Mathematics. Department of Mathematics
dc.source.none.fl_str_mv Filomat. 2023; 37(19): 6355-6363
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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