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dc.contributor.author
Conde, Cristian Marcelo
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dc.contributor.author
Feki, Kais
dc.date.available
2023-02-07T11:26:16Z
dc.date.issued
2022-03
dc.identifier.citation
Conde, Cristian Marcelo; Feki, Kais; Some numerical radius inequality for several semi-Hilbert space operators; Taylor & Francis Ltd; Linear And Multilinear Algebra; 3-2022; 1-18
dc.identifier.issn
0308-1087
dc.identifier.uri
http://hdl.handle.net/11336/187082
dc.description.abstract
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].
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis Ltd
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
A-ADJOINT OPERATOR
dc.subject
A-NUMERICAL RADIUS
dc.subject
INEQUALITY
dc.subject
POSITIVE OPERATOR
dc.subject.classification
Matemática Pura
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Some numerical radius inequality for several semi-Hilbert space operators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-02-07T10:17:11Z
dc.journal.pagination
1-18
dc.journal.pais
Reino Unido
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dc.journal.ciudad
Londres
dc.description.fil
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
dc.description.fil
Fil: Feki, Kais. University Of Sfax; Túnez
dc.journal.title
Linear And Multilinear Algebra
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/03081087.2022.2050883
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/03081087.2022.2050883
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