Composition of (E, 2)-summing operators

被引：6
|
作者：
Defant, A
Mastylo, M
机构：
[1] Carl Von Ossietzky Univ, Fachbereich Math, D-26111 Oldenburg, Germany
[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61712 Poznan, Poland
[3] Polish Acad Sci, Inst Math, Poznan Branch, PL-61614 Poznan, Poland
来源：
STUDIA MATHEMATICA | 2003年 / 159卷 / 01期
关键词：
D O I：
10.4064/sm159-1-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Banach operator ideal of (q,2)-summing operators plays a fundamental role within the theory of s-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. Konig, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for (E,2)-summing operators, E a symmetric Banach sequence space.
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页码：51 / 65
页数：15
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