Some numerical radius inequality for several semi-Hilbert space operators

Revista con referato

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Detalles Bibliográficos
Autores principales: Conde, Cristian Marcelo, Feki, Kais
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Taylor and Francis 2025
Materias:
Positive Operator
A-Adjoint Operator
A-Numerical Radius
Inequality
Matemáticas
Matemática Pura
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2329
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Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2329
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spelling I71-R177-UNGS-23292025-07-24T18:00:32Z Some numerical radius inequality for several semi-Hilbert space operators Conde, Cristian Marcelo Feki, Kais Positive Operator A-Adjoint Operator A-Numerical Radius Inequality Matemáticas Matemática Pura Revista con referato Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina. Fil: Feki, Kais. University of Sfax; Túnez. El artículo trata del radio numérico generalizado de operadores lineales que actúan en un espacio de Hilbert complejo (Fórmula presentada.), que están acotados con respecto a la seminorma inducida por un operador positivo A en (Fórmula presentada.). Aquí no se supone que A sea invertible. Principalmente, si denotamos por (Fórmula presentada.) y (Fórmula presentada.) los radios numéricos generalizado y clásico respectivamente, demostramos que para cada operador T acotado por A tenemos (Fórmula presentada.) donde (Fórmula presentada.) es la inversa de Moore-Penrose de (Fórmula presentada.). Además, se establecen varias desigualdades nuevas que involucran (Fórmula presentada.) para uno y varios operadores. En particular, mediante el uso de nuevas técnicas, cubrimos y mejoramos algunos resultados recientes debido a Najafi [Linear Algebra Appl. 2020;588:489–496]. The paper deals with the generalized numerical radius of linear operators acting on a complex Hilbert space (Formula presented.), which are bounded with respect to the seminorm induced by a positive operator A on (Formula presented.). Here A is not assumed to be invertible. Mainly, if we denote by (Formula presented.) and (Formula presented.) the generalized and the classical numerical radii respectively, we prove that for every A-bounded operator T we have (Formula presented.) where (Formula presented.) is the Moore-Penrose inverse of (Formula presented.). In addition, several new inequalities involving (Formula presented.) for single and several operators are established. In particular, by using new techniques, we cover and improve some recent results due to Najafi [Linear Algebra Appl. 2020;588:489–496]. 2025-07-24T18:00:32Z 2025-07-24T18:00:32Z 2022 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Conde, C. M. y Feki, K. (2022). Some numerical radius inequality for several semi-Hilbert space operators. Linear and Multilinear Algebra, 71(6), 1054-1071. 0308-1087 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2329 eng https://doi.org/10.1080/03081087.2022.2050883 info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Taylor and Francis Linear and Multilinear Algebra. 2022; 71(6): 1054-1071
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Positive Operator
A-Adjoint Operator
A-Numerical Radius
Inequality
Matemáticas
Matemática Pura
spellingShingle Positive Operator
A-Adjoint Operator
A-Numerical Radius
Inequality
Matemáticas
Matemática Pura
Conde, Cristian Marcelo
Feki, Kais
Some numerical radius inequality for several semi-Hilbert space operators
topic_facet Positive Operator
A-Adjoint Operator
A-Numerical Radius
Inequality
Matemáticas
Matemática Pura
description Revista con referato
format Artículo
Artículo
publishedVersion
author Conde, Cristian Marcelo
Feki, Kais
author_facet Conde, Cristian Marcelo
Feki, Kais
author_sort Conde, Cristian Marcelo
title Some numerical radius inequality for several semi-Hilbert space operators
title_short Some numerical radius inequality for several semi-Hilbert space operators
title_full Some numerical radius inequality for several semi-Hilbert space operators
title_fullStr Some numerical radius inequality for several semi-Hilbert space operators
title_full_unstemmed Some numerical radius inequality for several semi-Hilbert space operators
title_sort some numerical radius inequality for several semi-hilbert space operators
publisher Taylor and Francis
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2329
work_keys_str_mv AT condecristianmarcelo somenumericalradiusinequalityforseveralsemihilbertspaceoperators
AT fekikais somenumericalradiusinequalityforseveralsemihilbertspaceoperators
_version_ 1842217799393476608

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