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

被引：0

作者：

Fernandez, Julio C. Ramos ^{[2
]}

Rivera-Sarmiento, Maria A. ^{[3
]}

Salas-Brown, Margot ^{[1
]}

机构：

[1] Univ Sergio Arboleda, Programa Matemat, Escuela Ciencias Exactas & Ingn, Bogota, Colombia

[2] Univ Distrital Francisco Jose Caldas, Fac Ciencias Matemat & Nat, Bogota, Colombia

[3] Pontificia Univ Javeriana, Dept Matemat, Bogota, Colombia

来源：

DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期

关键词：

diagonal operators; Banach sequence spaces; compact operators; essential norm; MULTIPLICATION OPERATORS;

D O I：

10.1515/dema-2023-0263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页数：8

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