Almost summing and multiple almost summing multilinear operators on lp spaces

被引：0
|
作者：
Dumitru Popa
机构：
[1] Ovidius University of Constanta,Department of Mathematics
来源：
Archiv der Mathematik | 2014年 / 103卷
关键词：
Primary 46G25; Secondary 46B25; 46C99; Almost summing; Multiple almost summing; Multilinear operators; Maurey–Rosenthal factorization theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use the Maurey–Rosenthal factorization theorem to give a characterization of almost summing and multiple almost summing multilinear operators on a cartesian product of lp spaces. As applications we give the necessary and sufficient conditions for the multiplication operator on lp spaces be almost summing and multiple almost summing.
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页码：291 / 300
页数：9
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