Artículo

A study of orthogonality of bounded linear operators

Bottazzi, Tamara PaulaIcon ; Conde, Cristian MarceloIcon ; Sain, Debmalya
Fecha de publicación: 07/2020
Editorial: Banach Mathematical Research Group
Revista: Banach Journal Of Mathematical Analysis
ISSN: 1735-8787
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We study  Birkhoff-James orthogonality and isosceles orthogonality of bounded  linear operators between Hilbert spaces and Banach spaces.  We explore Birkhoff-James orthogonality of bounded linear operators in light of a new notion introduced by us and also discuss some of the possible applications in this regard. We also study isosceles orthogonality of bounded (positive) linear operators on a Hilbert space and  some of the related properties, including that of operators having disjoint support. We further explore the relations between Birkhoff-James orthogonality and isosceles orthogonality in a general Banach space.
Palabras clave: BIRKHOFF-JAMES ORTHOGONALITY , ISOSCELES ORTHOGONALITY , NORM ATTAINMENT SET , DISJOINT SUPPORT
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/111019
URL: https://link.springer.com/article/10.1007/s43037-019-00050-0
DOI: https://doi.org/10.1007/s43037-019-00050-0
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Bottazzi, Tamara Paula; Conde, Cristian Marcelo; Sain, Debmalya; A study of orthogonality of bounded linear operators; Banach Mathematical Research Group; Banach Journal Of Mathematical Analysis; 14; 3; 7-2020; 1001-1018
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