Operator ideals generated by strongly Lorentz sequence spaces

被引：0
|
作者：
Dahmane Achour
Aldjia Attallah
机构：
[1] University of M’sila,Laboratory of Functional Analysis and Geometry of Spaces
来源：
Advances in Operator Theory | 2021年 / 6卷
关键词：
Absolutely summing operators; Lorentz sequence space; Operator ideals; Strongly summing operators; 47B10; 46B45; 46G20; 46A45;
D O I：
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学科分类号：
摘要：
We introduce and study the new ideal of strongly Lorentz summing operators between Banach spaces generated by strongly Lorentz sequence spaces to study the adjoints of the Lorentz summing operators. We also prove the related dual result: an operator is Lorentz summing if and only if its adjoint is strongly Lorentz summing. Some examples, counterexamples and connections with the theory of absolutely summing operators are given.
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