New Results on Some Transforms of Operators in Hilbert Spaces

Revista con referato

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Detalles Bibliográficos
Autores principales: Altwaijry, Najla, Conde, Cristian Marcelo, Feki, Kais, Stankovic, Hranislav
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: SPRINGER 2026
Materias:
Lambda-Aluthge transform
Duggal transform
Lambda-Mean transform
Hilbert space
Matemáticas
Matemática Pura
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2714
Aporte de:
Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2714
record_format dspace
spelling I71-R177-UNGS-27142026-01-15T09:55:59Z New Results on Some Transforms of Operators in Hilbert Spaces Altwaijry, Najla Conde, Cristian Marcelo Feki, Kais Stankovic, Hranislav Lambda-Aluthge transform Duggal transform Lambda-Mean transform Hilbert space Matemáticas Matemática Pura 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: Aljawi, Salma. Princess Nourah bint Abdulrahman University; Arabia Saudita. Fil: Feki, Kais. University of Sfax; Túnez. Fil: Stankovic, Hranislav. University of Niš; Serbia. En este artículo, exploramos diversas transformaciones asociadas con un operador lineal acotado T en un espacio de Hilbert. Estas transformaciones incluyen las transformaciones de Aluthge, ?-Aluthge, Duggal, de media generalizada y ?-media. Nuestro objetivo es investigar las conexiones entre T y estas transformaciones, centrándonos en aspectos como las desigualdades normativas y los rangos numéricos, a la vez que destacamos ciertas propiedades esenciales. Además, buscamos determinar las condiciones bajo las cuales un operador T coincide en norma con sus contrapartes transformadas mediante estas transformaciones. También se derivan varias caracterizaciones y propiedades. In this paper, we explore various transforms associated with a bounded linear operatorT on a Hilbert space. These transforms include the Aluthge, ?-Aluthge, Duggal,generalized mean, and ?-mean transforms. Our aim is to investigate the connectionsbetween T and these transforms, focusing on aspects such as norm inequalities andnumerical ranges, while also highlighting certain essential properties. Furthermore,we aim to determine the conditions under which an operator T coincides in norm withits transformed counterparts through these transformations. Several characterizationsand properties are also derived. Neste artigo, exploramos diversas transformações associadas a um operador linear limitado T em um espaço de Hilbert. Essas transformações incluem as transformações de Aluthge, ?-Aluthge, Duggal, média generalizada e ?-média. Nosso objetivo é investigar as conexões entre T e essas transformações, com foco em aspectos como desigualdades de norma e intervalos numéricos, além de destacar certas propriedades essenciais. Ademais, buscamos determinar as condições sob as quais um operador T coincide em norma com suas contrapartes transformadas por meio dessas transformações. Diversas caracterizações e propriedades também são derivadas. 2026-01-15T09:55:59Z 2026-01-15T09:55:59Z 2024 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Altwaijry, N., Conde, C. M., Feki, K. y Stankovic, H. (2024). New Results on Some Transforms of Operators in Hilbert Spaces. Bulletin of the Brazilian Mathematical Society, 55(3), 1-18. 1678-7544 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2714 eng http://dx.doi.org/10.1007/s00574-024-00416-5 info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf SPRINGER Bulletin of the Brazilian Mathematical Society. Ago. 2024; 55(3): 1-18
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 Lambda-Aluthge transform
Duggal transform
Lambda-Mean transform
Hilbert space
Matemáticas
Matemática Pura
spellingShingle Lambda-Aluthge transform
Duggal transform
Lambda-Mean transform
Hilbert space
Matemáticas
Matemática Pura
Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Stankovic, Hranislav
New Results on Some Transforms of Operators in Hilbert Spaces
topic_facet Lambda-Aluthge transform
Duggal transform
Lambda-Mean transform
Hilbert space
Matemáticas
Matemática Pura
description Revista con referato
format Artículo
Artículo
publishedVersion
author Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Stankovic, Hranislav
author_facet Altwaijry, Najla
Conde, Cristian Marcelo
Feki, Kais
Stankovic, Hranislav
author_sort Altwaijry, Najla
title New Results on Some Transforms of Operators in Hilbert Spaces
title_short New Results on Some Transforms of Operators in Hilbert Spaces
title_full New Results on Some Transforms of Operators in Hilbert Spaces
title_fullStr New Results on Some Transforms of Operators in Hilbert Spaces
title_full_unstemmed New Results on Some Transforms of Operators in Hilbert Spaces
title_sort new results on some transforms of operators in hilbert spaces
publisher SPRINGER
publishDate 2026
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2714
work_keys_str_mv AT altwaijrynajla newresultsonsometransformsofoperatorsinhilbertspaces
AT condecristianmarcelo newresultsonsometransformsofoperatorsinhilbertspaces
AT fekikais newresultsonsometransformsofoperatorsinhilbertspaces
AT stankovichranislav newresultsonsometransformsofoperatorsinhilbertspaces
_version_ 1858615849896640512

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