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dc.contributor.author
Bottazzi, Tamara Paula
dc.contributor.author
Conde, Cristian Marcelo
dc.contributor.author
Feki, Kais
dc.date.available
2023-08-10T13:28:21Z
dc.date.issued
2021-12
dc.identifier.citation
Bottazzi, Tamara Paula; Conde, Cristian Marcelo; Feki, Kais; On A-Parallelism and A-Birkhoff–James Orthogonality of Operators; Springer; Results In Mathematics; 76; 4; 12-2021; 1-27
dc.identifier.issn
1422-6383
dc.identifier.uri
http://hdl.handle.net/11336/207790
dc.description.abstract
In this paper, we establish several characterizations of the A-parallelism of bounded linear operators with respect to the seminorm induced by a positive operator A acting on a complex Hilbert space. Among other things, we investigate the relationship between A-seminorm-parallelism and A-Birkhoff–James orthogonality of A-bounded operators. In particular, we characterize A-bounded operators which satisfy the A-Daugavet equation. In addition, we relate the A-Birkhoff–James orthogonality of operators to the distance formulas and we give an explicit formula of the center mass for A-bounded operators. Some other related results are also discussed.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
NUMERICAL RADIUS
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ORTHOGONALITY
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PARALLELISM
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POSITIVE OPERATOR
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On A-Parallelism and A-Birkhoff–James Orthogonality of 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
2023-08-09T15:22:02Z
dc.journal.volume
76
dc.journal.number
4
dc.journal.pagination
1-27
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Bottazzi, Tamara Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Río Negro. Sede Andina; Argentina
dc.description.fil
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias. Área de Matemática; Argentina
dc.description.fil
Fil: Feki, Kais. University Of Sfax; Túnez. University of Monastir; Túnez
dc.journal.title
Results In Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00025-021-01515-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00025-021-01515-1
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