On some measures of non-compactness associated to Banach operator ideals

被引：0
|
作者：
Manzano, Antonio [1 ]
Mastylo, Mieczyslaw [2 ]
机构：
[1] Univ Burgos, Escuela Politecn Super, Dept Matemat & Comp, Calle Villadiego s-n, Burgos 09001, Spain
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Univ Poznanskiego 4, PL-61614 Poznan, Poland
来源：
JOURNAL OF APPROXIMATION THEORY | 2023年 / 285卷
关键词：
Banach operator ideal; Measure of non-compactness; Intermediate space; Interpolation space; p-compact operator; Quasi p-nuclear operator; A-COMPACT OPERATORS; APPROXIMATION PROPERTY; ENTROPY NUMBERS; INTERPOLATION; SEQUENCES; ADJOINTS;
D O I：
10.1016/j.jat.2022.105836
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study two variants of measures of non-compactness of operators associated to a Banach operator ideal in the sense of Pietsch. These measures are motivated by the notions of surjective-ideal-compactness and injective-ideal-compactness, defined respectively by Carl and Stephani and by Stephani. Interpolation results on these measures in the cases of Banach couples generated by a single Banach space are given. As an application, we obtain interpolation theorems on p-compact operators and quasi p-nuclear operators.
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页数：24
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