Orthogonality and parallelism of operators on various banach spaces

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Revista con referato

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Autores principales: Bottazzi, Tamara Paula, Conde, Cristian Marcelo, Moslehian, Mohammad Sal, Wojcik, Pawel, Zamani, Ali
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Cambridge University Press 2025
Materias:
Orthogonality
Norm-parallelism
Schatten p-norm
Disjoint supports
Trace
Compact operator
Matemáticas
Matemática Pura
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2140
Aporte de:
Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2140
record_format dspace
spelling I71-R177-UNGS-21402025-03-13T17:25:59Z Orthogonality and parallelism of operators on various banach spaces Bottazzi, Tamara Paula Conde, Cristian Marcelo Moslehian, Mohammad Sal Wojcik, Pawel Zamani, Ali Orthogonality Norm-parallelism Schatten p-norm Disjoint supports Trace Compact operator Matemáticas Matemática Pura Revista con referato Fil: Bottazzi, Tamara Paula. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Bottazzi, Tamara Paula. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Fil: Zamani, Ali. Ferdowsi University Of Mashhad; Irán. Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina. Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Presentamos algunas propiedades de la ortogonalidad y las relacionamos con los ideales de in-Schatten de desigualdades disjuntas de soporte y de norma. Además, investigamos el problema de la caracterización del paralelismo de normas para operadores lineales acotados. Consideramos la caracterización del problema de paralelismo de normas en ideales de Schatten y espacios localmente uniformemente convexos. Más adelante, estudiamos el caso en el que un operador es norma-paralelo al operador identidad. Finalmente, damos algunas afirmaciones de equivalencia sobre el paralelismo normativo de operadores compactos. Se discuten algunas aplicaciones y generalizaciones para ciertos operadores. We present some properties of orthogonality and relate them with support disjoint and norm inequalities in-Schatten ideals. In addition, we investigate the problem of characterization of norm-parallelism for bounded linear operators. We consider the characterization of the norm-parallelism problem in-Schatten ideals and locally uniformly convex spaces. Later on, we study the case when an operator is norm-parallel to the identity operator. Finally, we give some equivalence assertions about the norm-parallelism of compact operators. Some applications and generalizations are discussed for certain operators. Apresentamos algumas propriedades da ortogonalidade e as relacionamos com as desigualdades disjuntas de suporte e as desigualdades de norma nos ideais de Schatten. Além disso, investigamos o problema de caracterização do paralelismo de normas para operadores lineares limitados. Consideramos a caracterização do problema do paralelismo normativo em ideais de Schatten e espaços localmente uniformemente convexos. Posteriormente, estudamos o caso em que um operador é norma paralelo ao operador identidade. Finalmente, damos algumas afirmações de equivalência sobre o paralelismo normativo de operadores compactos. Algumas aplicações e generalizações são discutidas para determinados operadores. 2025-03-13T17:23:47Z 2025-03-13T17:23:47Z 2019 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Bottazzi, T. P., Conde, C. M., Moslehian, M. S., Wojcik. P. y Zamani, A. (2019). Orthogonality and parallelism of operators on various banach spaces. Journal Of The Australian Mathematical Society, 106(2), 160-183. 1446-7887 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2140 eng http://dx.doi.org/10.1017/S1446788718000150 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf Cambridge University Press Journal Of The Australian Mathematical Society. Abr. 2019; 106(2): 160-183 https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/issue/D7E7EAF1BE6367E56C106AF1E625DA2B
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 Orthogonality
Norm-parallelism
Schatten p-norm
Disjoint supports
Trace
Compact operator
Matemáticas
Matemática Pura
spellingShingle Orthogonality
Norm-parallelism
Schatten p-norm
Disjoint supports
Trace
Compact operator
Matemáticas
Matemática Pura
Bottazzi, Tamara Paula
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Wojcik, Pawel
Zamani, Ali
Orthogonality and parallelism of operators on various banach spaces
topic_facet Orthogonality
Norm-parallelism
Schatten p-norm
Disjoint supports
Trace
Compact operator
Matemáticas
Matemática Pura
description Revista con referato
format Artículo
Artículo
publishedVersion
author Bottazzi, Tamara Paula
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Wojcik, Pawel
Zamani, Ali
author_facet Bottazzi, Tamara Paula
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Wojcik, Pawel
Zamani, Ali
author_sort Bottazzi, Tamara Paula
title Orthogonality and parallelism of operators on various banach spaces
title_short Orthogonality and parallelism of operators on various banach spaces
title_full Orthogonality and parallelism of operators on various banach spaces
title_fullStr Orthogonality and parallelism of operators on various banach spaces
title_full_unstemmed Orthogonality and parallelism of operators on various banach spaces
title_sort orthogonality and parallelism of operators on various banach spaces
publisher Cambridge University Press
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2140
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AT moslehianmohammadsal orthogonalityandparallelismofoperatorsonvariousbanachspaces
AT wojcikpawel orthogonalityandparallelismofoperatorsonvariousbanachspaces
AT zamaniali orthogonalityandparallelismofoperatorsonvariousbanachspaces
_version_ 1826997430324822016

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