The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces

We calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.

Bibliographic Details
Main Authors: Fernández Julio C. Ramos, Rivera-Sarmiento María A., Salas-Brown Margot
Format: Article
Language:English
Published: De Gruyter 2024-02-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2023-0263