The Twisted Hilbert Space Ideals

被引：0
|
作者：
Cabello Sanchez, Felix [1 ]
Garcia, Ricardo [1 ]
机构：
[1] Univ Extremadura, Dept Matemat, IMUEx, Ave Elvas, Badajoz 06071, Spain
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2022年 / 94卷 / 02期
关键词：
Hilbert space; Twisted Hilbert spaces; Extension and lifting of operators; Operator ideal; Schatten classes; Short exact sequence; Quasilinear map; Centralizer; NONLINEAR CENTRALIZERS; OPERATORS;
D O I：
10.1007/s00020-022-02699-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study those operators on a Hilbert space that can be lifted or extended to any twisted Hilbert space. We prove that these form an ideal of operators which contains all the Schatten classes. We characterize those multiplication operators on l(p) that are liftable/extensible through centralizers.
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页数：12
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