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

Autores
Aliaa Burqan; Saeed Alkhalely; Conde, Cristian Marcelo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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 w 2r (B) ≤ 1 2 q A4rα + A4r(1−α) C4rα + C4r(1−α) , and w 2r (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.
Fil: Aliaa Burqan. Zarqa University; Jordania
Fil: Saeed Alkhalely. Middle East University; Jordania
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias. Área de Matemática; Argentina
Materia
Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm.
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:11336/219652
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/219652
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matricesAliaa BurqanSaeed AlkhalelyConde, Cristian MarceloPositive semidefinite matrixBlock matrixNumerical radiusOperator norm.https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In 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 w 2r (B) ≤ 1 2 q A4rα + A4r(1−α) C4rα + C4r(1−α) , and w 2r (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.Fil: Aliaa Burqan. Zarqa University; JordaniaFil: Saeed Alkhalely. Middle East University; JordaniaFil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias. Área de Matemática; ArgentinaUniv Nis2023-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/219652Aliaa Burqan; Saeed Alkhalely; Conde, Cristian Marcelo; Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices; Univ Nis; Filomat; 37; 19; 3-2023; 6355-63630354-51802406-0933CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.pmf.ni.ac.rs/filomat-content/2023/37-19/37-19-8-18497.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:09:04Zoai:ri.conicet.gov.ar:11336/219652instacron: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:34982025-10-29 12:09:05.121CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
Aliaa Burqan
Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm.
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 Aliaa Burqan
Saeed Alkhalely
Conde, Cristian Marcelo
author Aliaa Burqan
author_facet Aliaa Burqan
Saeed Alkhalely
Conde, Cristian Marcelo
author_role author
author2 Saeed Alkhalely
Conde, Cristian Marcelo
author2_role author
author
dc.subject.none.fl_str_mv Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm.
topic Positive semidefinite matrix
Block matrix
Numerical radius
Operator norm.
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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 w 2r (B) ≤ 1 2 q A4rα + A4r(1−α) C4rα + C4r(1−α) , and w 2r (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.
Fil: Aliaa Burqan. Zarqa University; Jordania
Fil: Saeed Alkhalely. Middle East University; Jordania
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias. Área de Matemática; Argentina
description 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 w 2r (B) ≤ 1 2 q A4rα + A4r(1−α) C4rα + C4r(1−α) , and w 2r (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.
publishDate 2023
dc.date.none.fl_str_mv 2023-03
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/11336/219652
Aliaa Burqan; Saeed Alkhalely; Conde, Cristian Marcelo; Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices; Univ Nis; Filomat; 37; 19; 3-2023; 6355-6363
0354-5180
2406-0933
CONICET Digital
CONICET
url http://hdl.handle.net/11336/219652
identifier_str_mv Aliaa Burqan; Saeed Alkhalely; Conde, Cristian Marcelo; Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices; Univ Nis; Filomat; 37; 19; 3-2023; 6355-6363
0354-5180
2406-0933
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.pmf.ni.ac.rs/filomat-content/2023/37-19/37-19-8-18497.pdf
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
application/pdf
dc.publisher.none.fl_str_mv Univ Nis
publisher.none.fl_str_mv Univ Nis
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
_version_ 1847426907467939840
score 13.10058

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