ON OPERATORS FROM ls TO lp (⊗)over-cap lq OR TO lp ((⊗)over cap)over cap lq

被引：1

作者：

Samuel, Christian ^{[1
]}

机构：

[1] Univ Aix Marseille 3, LATP Lab Anal, Fac Sci & Tech, F-13397 Marseille 20, France

来源：

COLLOQUIUM MATHEMATICUM | 2010年 / 121卷 / 01期

关键词：

projective tensor product; injective tensor product; compact operator; SPACES; THEOREM;

D O I：

10.4064/cm121-1-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that every operator from l(s) to l(p) b (circle times) over cap l(q) is compact when 1 <= p; q < s and that every operator from l(s) to l(p)<(<(circle times)over cap>)over cap> l(q) is compact when 1/p + 1/q > 1 + 1/s.

引用

页码：25 / 33

页数：9

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