On a binary operation for positive operators

Revista con referato

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Autores principales: Furuichi, Shigeru, Conde, Cristian Marcelo, Reza Moradi, Hamid, Sababheh, Mohammad
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Springer 2026
Materias:
Operator Geometric Mean
Tsallis Relative Operator Entropy
Unitary Invariant Norm
Matemáticas
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2726
Aporte de:
Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2726
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spelling I71-R177-UNGS-27262026-01-15T10:20:01Z On a binary operation for positive operators Furuichi, Shigeru Conde, Cristian Marcelo Reza Moradi, Hamid Sababheh, Mohammad Operator Geometric Mean Tsallis Relative Operator Entropy Unitary Invariant Norm Matemáticas 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: Reza Moradi, Hamid. Islamic Azad University; Irán. Fil: Furuichi, Shigeru. Nihon University. College of Humanities and Sciences. Department of Information Science; Japan M. Lin definió una operación binaria para dos matrices semidefinidas positivas al estudiar ciertas desigualdades determinantes que surgen de la imagen del tensor de difusión. Esta operación posee propiedades interesantes similares a las del operador media geométrica. Estudiamos esta operación con más profundidad y presentamos numerosas propiedades que enfatizan su relación con el operador media geométrica. Finalmente, presentamos una aplicación a la entropía relativa del operador de Tsallis. M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation enjoys some interesting properties similar to the operator geometric mean. We study this operation further and present numerous properties emphasizing the relationship with the operator geometric mean. In the end, we present an application toward Tsallis relative operator entropy. M. Lin definiu uma operação binária para duas matrizes semidefinidas positivas ao estudar certas desigualdades determinantes que surgem da imagem por tensor de difusão. Essa operação possui algumas propriedades interessantes semelhantes à média geométrica dos operadores. Estudamos essa operação mais a fundo e apresentamos diversas propriedades que enfatizam a relação com a média geométrica dos operadores. Por fim, apresentamos uma aplicação à entropia relativa de Tsallis. 2026-01-15T10:20:01Z 2026-01-15T10:20:01Z 2024 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Furuichi, S., Conde, C. M., Reza Moradi, H. y Sababheh, M. (2024). On a binary operation for positive operators. Acta Scientiarum Mathematicarum, 90, 649–665. 0001-6969 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2726 eng http://dx.doi.org/10.1007/s44146-023-00102-w info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Springer Acta Scientiarum Mathematicarum. 2024; 90: 649–665
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 Operator Geometric Mean
Tsallis Relative Operator Entropy
Unitary Invariant Norm
Matemáticas
spellingShingle Operator Geometric Mean
Tsallis Relative Operator Entropy
Unitary Invariant Norm
Matemáticas
Furuichi, Shigeru
Conde, Cristian Marcelo
Reza Moradi, Hamid
Sababheh, Mohammad
On a binary operation for positive operators
topic_facet Operator Geometric Mean
Tsallis Relative Operator Entropy
Unitary Invariant Norm
Matemáticas
description Revista con referato
format Artículo
Artículo
publishedVersion
author Furuichi, Shigeru
Conde, Cristian Marcelo
Reza Moradi, Hamid
Sababheh, Mohammad
author_facet Furuichi, Shigeru
Conde, Cristian Marcelo
Reza Moradi, Hamid
Sababheh, Mohammad
author_sort Furuichi, Shigeru
title On a binary operation for positive operators
title_short On a binary operation for positive operators
title_full On a binary operation for positive operators
title_fullStr On a binary operation for positive operators
title_full_unstemmed On a binary operation for positive operators
title_sort on a binary operation for positive operators
publisher Springer
publishDate 2026
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2726
work_keys_str_mv AT furuichishigeru onabinaryoperationforpositiveoperators
AT condecristianmarcelo onabinaryoperationforpositiveoperators
AT rezamoradihamid onabinaryoperationforpositiveoperators
AT sababhehmohammad onabinaryoperationforpositiveoperators
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