On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

Alexander Caicedo; Julio C Ramos-Fernández; Margot Salas-Brown

On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

Alexander Caicedo, Julio C Ramos-Fernández, Margot Salas-Brown

Departamento de Ingeniería Electrónica

Producción: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

In this article, all sequences u, v, and w that define continuous and compact tridiagonal operators Tu,v,w acting on the weighted sequence space l β 2 were characterized. Additionally, the essential norm of this operator, and as an important consequence of our results, the essential norm of multiplication operator Mu acting on l β 2 spaces was calculated. © 2023 the author(s), published by De Gruyter.

Idioma original	Inglés
Número de artículo	20220143
Número de páginas	1
Publicación	Concrete Operators
Volumen	10
N.º	1
Estado	Publicada - 2023

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abstract = "In this article, all sequences u, v, and w that define continuous and compact tridiagonal operators Tu,v,w acting on the weighted sequence space l β 2 were characterized. Additionally, the essential norm of this operator, and as an important consequence of our results, the essential norm of multiplication operator Mu acting on l β 2 spaces was calculated. {\textcopyright} 2023 the author(s), published by De Gruyter.",

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AB - In this article, all sequences u, v, and w that define continuous and compact tridiagonal operators Tu,v,w acting on the weighted sequence space l β 2 were characterized. Additionally, the essential norm of this operator, and as an important consequence of our results, the essential norm of multiplication operator Mu acting on l β 2 spaces was calculated. © 2023 the author(s), published by De Gruyter.

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On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

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