On A-Parallelism and A-Birkhoff–James Orthogonality of Operators

Bottazzi, Tamara Paula; Conde, Cristian Marcelo; Feki, Kais

doi:10.1007/s00025-021-01515-1

Artículo

On A-Parallelism and A-Birkhoff–James Orthogonality of Operators

Bottazzi, Tamara Paula Icon

; Conde, Cristian Marcelo Icon

; Feki, Kais

Fecha de publicación: 12/2021

Editorial: Springer

Revista: Results In Mathematics

ISSN: 1422-6383

Idioma: Inglés

Tipo de recurso: Artículo publicado

Clasificación temática:

Matemática Pura

Resumen

In this paper, we establish several characterizations of the A-parallelism of bounded linear operators with respect to the seminorm induced by a positive operator A acting on a complex Hilbert space. Among other things, we investigate the relationship between A-seminorm-parallelism and A-Birkhoff–James orthogonality of A-bounded operators. In particular, we characterize A-bounded operators which satisfy the A-Daugavet equation. In addition, we relate the A-Birkhoff–James orthogonality of operators to the distance formulas and we give an explicit formula of the center mass for A-bounded operators. Some other related results are also discussed.

Palabras clave: NUMERICAL RADIUS , ORTHOGONALITY , PARALLELISM , POSITIVE OPERATOR

Ver el registro completo

Archivos asociados

Tamaño: 492.8Kb

Formato: PDF

Solicitar

Licencia

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/11336/207790

URL: https://link.springer.com/article/10.1007/s00025-021-01515-1

DOI: http://dx.doi.org/10.1007/s00025-021-01515-1

Colecciones

Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL

Citación

Bottazzi, Tamara Paula; Conde, Cristian Marcelo; Feki, Kais; On A-Parallelism and A-Birkhoff–James Orthogonality of Operators; Springer; Results In Mathematics; 76; 4; 12-2021; 1-27

Altmétricas