Orthogonality and parallelism of operators on various Banach Spaces

Autores
Bottazzi, Tamara Paula; Conde, Cristian M.; Moslehian, Mohammad S.; Wójcik, Pawel; Zamani, Alí
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión aceptada
Descripción
Fil: Bottazzi, Tamara P. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.
Fil: Conde, Cristian M. Universidad Nacional de Gral. Sarmiento. Instituto de Ciencias. Los Polvorines, Argentina.
Fil: Conde, Cristian M. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.
Fil: Moslehian, Mohammad S. Ferdowsi University of Mashhad. Centerof Excellence in Analysis on Algebraic Structures (CEAAS). Department of Pure Mathematics. Mashhad, Iran
Fil: Wójcik, Pawel. Pedagogical University of Cracow, Institute of Mathematics. Kraków, Poland.
Fil: Zamani, Alí. Farhangian University. Department of Mathematics. Iran.
We present some properties of orthogonality and relate them with support disjoint and norm inequalities in p-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 p-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.
Presentamos algunas propiedades de ortogonalidad y las relacionamos con la noción de soporte disjunto y desigualdades en norma en ideales p-Schatten. Además, investigamos el problema de caracterizar el paralelismo en norma para operadores lineales y acotados. Consideramos el problema anterior en el contexto de los ideales p- Schatten y espacios uniformemente convexos a nivel local. Finalmente, brindamos algunas equivalencias sobre el paralelismo en norma para operadores compactos. Algunas aplicaciones y generalizaciones se discuten para ciertos operadores.
Materia
Ciencias Exactas y Naturales
Ortogonalidad
Paralelismo
Soporte Disjunto
Norma P-Schatten
Traza
Operadores Compactos
Ciencias Exactas y Naturales
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
RID-UNRN (UNRN)
Institución
Universidad Nacional de Río Negro
OAI Identificador
oai:rid.unrn.edu.ar:20.500.12049/5358
Acceder
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oai_identifier_str oai:rid.unrn.edu.ar:20.500.12049/5358
network_acronym_str RIDUNRN
repository_id_str 4369
network_name_str RID-UNRN (UNRN)
spelling Orthogonality and parallelism of operators on various Banach SpacesBottazzi, Tamara PaulaConde, Cristian M.Moslehian, Mohammad S.Wójcik, PawelZamani, AlíCiencias Exactas y NaturalesOrtogonalidadParalelismoSoporte DisjuntoNorma P-SchattenTrazaOperadores CompactosCiencias Exactas y NaturalesFil: Bottazzi, Tamara P. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.Fil: Conde, Cristian M. Universidad Nacional de Gral. Sarmiento. Instituto de Ciencias. Los Polvorines, Argentina.Fil: Conde, Cristian M. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.Fil: Moslehian, Mohammad S. Ferdowsi University of Mashhad. Centerof Excellence in Analysis on Algebraic Structures (CEAAS). Department of Pure Mathematics. Mashhad, IranFil: Wójcik, Pawel. Pedagogical University of Cracow, Institute of Mathematics. Kraków, Poland.Fil: Zamani, Alí. Farhangian University. Department of Mathematics. Iran.We present some properties of orthogonality and relate them with support disjoint and norm inequalities in p-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 p-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.Presentamos algunas propiedades de ortogonalidad y las relacionamos con la noción de soporte disjunto y desigualdades en norma en ideales p-Schatten. Además, investigamos el problema de caracterizar el paralelismo en norma para operadores lineales y acotados. Consideramos el problema anterior en el contexto de los ideales p- Schatten y espacios uniformemente convexos a nivel local. Finalmente, brindamos algunas equivalencias sobre el paralelismo en norma para operadores compactos. Algunas aplicaciones y generalizaciones se discuten para ciertos operadores.Cambridge University Press2019-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfBottazzi, Tamara P., Conde, Cristian M., Moslehian, Mohammad S., Wójcik, Pawel & Zamani, Alí (2019). Orthogonality and parallelism of operators on various Banach Spaces. Cambridge University Press; Journal of the Australian Mathematical Society; 106 (2); 160-1831446-7887https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/orthogonality-and-parallelism-of-operators-on-various-banach-spaces/E7C5174ABA1E8ED0B8695E12A26EF39Fhttps://rid.unrn.edu.ar/jspui/handle/20.500.12049/5358https://doi.org/10.1017/S1446788718000150eng106 (2)Journal of the Australian Mathematical Societyinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:RID-UNRN (UNRN)instname:Universidad Nacional de Río Negro2025-10-30T12:04:00Zoai:rid.unrn.edu.ar:20.500.12049/5358instacron:UNRNInstitucionalhttps://rid.unrn.edu.ar/jspui/Universidad públicaNo correspondehttps://rid.unrn.edu.ar/oai/snrdrid@unrn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:43692025-10-30 12:04:00.742RID-UNRN (UNRN) - Universidad Nacional de Río Negrofalse
dc.title.none.fl_str_mv Orthogonality and parallelism of operators on various Banach Spaces
title Orthogonality and parallelism of operators on various Banach Spaces
spellingShingle Orthogonality and parallelism of operators on various Banach Spaces
Bottazzi, Tamara Paula
Ciencias Exactas y Naturales
Ortogonalidad
Paralelismo
Soporte Disjunto
Norma P-Schatten
Traza
Operadores Compactos
Ciencias Exactas y Naturales
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
dc.creator.none.fl_str_mv Bottazzi, Tamara Paula
Conde, Cristian M.
Moslehian, Mohammad S.
Wójcik, Pawel
Zamani, Alí
author Bottazzi, Tamara Paula
author_facet Bottazzi, Tamara Paula
Conde, Cristian M.
Moslehian, Mohammad S.
Wójcik, Pawel
Zamani, Alí
author_role author
author2 Conde, Cristian M.
Moslehian, Mohammad S.
Wójcik, Pawel
Zamani, Alí
author2_role author
author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas y Naturales
Ortogonalidad
Paralelismo
Soporte Disjunto
Norma P-Schatten
Traza
Operadores Compactos
Ciencias Exactas y Naturales
topic Ciencias Exactas y Naturales
Ortogonalidad
Paralelismo
Soporte Disjunto
Norma P-Schatten
Traza
Operadores Compactos
Ciencias Exactas y Naturales
dc.description.none.fl_txt_mv Fil: Bottazzi, Tamara P. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.
Fil: Conde, Cristian M. Universidad Nacional de Gral. Sarmiento. Instituto de Ciencias. Los Polvorines, Argentina.
Fil: Conde, Cristian M. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.
Fil: Moslehian, Mohammad S. Ferdowsi University of Mashhad. Centerof Excellence in Analysis on Algebraic Structures (CEAAS). Department of Pure Mathematics. Mashhad, Iran
Fil: Wójcik, Pawel. Pedagogical University of Cracow, Institute of Mathematics. Kraków, Poland.
Fil: Zamani, Alí. Farhangian University. Department of Mathematics. Iran.
We present some properties of orthogonality and relate them with support disjoint and norm inequalities in p-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 p-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.
Presentamos algunas propiedades de ortogonalidad y las relacionamos con la noción de soporte disjunto y desigualdades en norma en ideales p-Schatten. Además, investigamos el problema de caracterizar el paralelismo en norma para operadores lineales y acotados. Consideramos el problema anterior en el contexto de los ideales p- Schatten y espacios uniformemente convexos a nivel local. Finalmente, brindamos algunas equivalencias sobre el paralelismo en norma para operadores compactos. Algunas aplicaciones y generalizaciones se discuten para ciertos operadores.
description Fil: Bottazzi, Tamara P. Instituto Argentino de Matemática “Alberto P. Calderón”. Buenos Aires, Argentina.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv Bottazzi, Tamara P., Conde, Cristian M., Moslehian, Mohammad S., Wójcik, Pawel & Zamani, Alí (2019). Orthogonality and parallelism of operators on various Banach Spaces. Cambridge University Press; Journal of the Australian Mathematical Society; 106 (2); 160-183
1446-7887
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/orthogonality-and-parallelism-of-operators-on-various-banach-spaces/E7C5174ABA1E8ED0B8695E12A26EF39F
https://rid.unrn.edu.ar/jspui/handle/20.500.12049/5358
https://doi.org/10.1017/S1446788718000150
identifier_str_mv Bottazzi, Tamara P., Conde, Cristian M., Moslehian, Mohammad S., Wójcik, Pawel & Zamani, Alí (2019). Orthogonality and parallelism of operators on various Banach Spaces. Cambridge University Press; Journal of the Australian Mathematical Society; 106 (2); 160-183
1446-7887
url https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/orthogonality-and-parallelism-of-operators-on-various-banach-spaces/E7C5174ABA1E8ED0B8695E12A26EF39F
https://rid.unrn.edu.ar/jspui/handle/20.500.12049/5358
https://doi.org/10.1017/S1446788718000150
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 106 (2)
Journal of the Australian Mathematical Society
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:RID-UNRN (UNRN)
instname:Universidad Nacional de Río Negro
reponame_str RID-UNRN (UNRN)
collection RID-UNRN (UNRN)
instname_str Universidad Nacional de Río Negro
repository.name.fl_str_mv RID-UNRN (UNRN) - Universidad Nacional de Río Negro
repository.mail.fl_str_mv rid@unrn.edu.ar
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score 12.589754

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