Non nuclear integral operators with continuous kernels

被引：0

作者：

Frerick, L ^{[1
]}

机构：

[1] Berg Univ Wuppertal, Fachbereich Math 7, D-42097 Wuppertal, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2003年 / 254卷

关键词：

integral operators; nuclear operators;

D O I：

10.1002/mana.200310058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we give a positive answer to the following question posed by A. Pietsch: Is there for all p, q is an element of (1, infinity) a continuous kernel K such that the associated integral operator T-K : L-q ([0, 1]) --> L-p ([0, 1]) fails to be nuclear?

引用

页码：132 / 132

页数：1

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