Approximation properties and some classes of operators

被引：0
|
作者：
Reinov O.I. [1 ,2 ,3 ]
机构：
[1] UMR 8532, Institut Gustave Roussy, 94805 Villejuif Cedex
[2] Wroclaw University of Technology, Institute of Physical and Theoretical Chemistry
来源：
Journal of Mathematical Sciences | 2001年 / 107卷 / 3期
关键词：
Banach Space; Approximation Property; Adjoint Operator; Close Problem;
D O I：
10.1023/A:1012392212102
中图分类号：
学科分类号：
摘要：
The following questions and close problems are studied. (i) Is it true that T is p-nuclear provided that T** is p-nuclear? (ii) Is it true that T is dually p-nuclear provided that T* is p-nuclear? (iii) Is it true that if T* is compactly factorable in the space lp, then T is (strictly) factorable in the space lp′? Here, T* is the adjoint operator of a bounded operator T : X → Y in Banach spaces X and Y. Bibliography. 30 titles. © 2001 Plenum Publishing Corporation.
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页码：3911 / 3951
页数：40
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