Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals

被引：5
|
作者：
Popa, Dumitru [1 ]
机构：
[1] Ovidius Univ Constanta, Dept Math, Constanta 900527, Romania
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 489卷
关键词：
Multilinear operators; Nuclear operators; p-Summing operator; Mixing operator; Banach ideal of multilinear functionals; Banach ideal of multilinear operators; Compact operator;
D O I：
10.1016/j.laa.2015.10.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the concept of p-nuclear multilinear operator (1 <= p <= infinity) with respect to a Banach ideal of multilinear functionals and prove some Pietsch type composition results for this class. As an application we prove that each compact operator from C(Omega) into a cotype 2 space is 2-nuclear. By an example we show that the corresponding multilinear result is not true in general. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：93 / 103
页数：11
相关论文
共 50 条
12345