Pitt's theorem for the Lorentz and Orlicz sequence spaces

被引：4
|
作者：
Ausekle, JA [1 ]
Oja, EF [1 ]
机构：
[1] TARTU STATE UNIV,EE-202400 TARTU,ESTONIA
来源：
MATHEMATICAL NOTES | 1997年 / 61卷 / 1-2期
关键词：
linear operators; sequence spaces; Pitt theorem;
D O I：
10.1007/BF02355003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L(X, Y) be the Banach space of all continuous linear operators from X to Y, and let K(X, Y) be the subspace of compact operators. Some versions of the classical Pitt theorem (if p > q, then K(l(p), l(q)) = L(l(p), l(q))) for subspaces of Lorentz and Orlicz sequence spaces are established.
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页码：16 / 21
页数：6
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