Norm-parallelism in classical M-ideals

被引：9
|
作者：
Wojcik, Pawel [1 ]
机构：
[1] Pedag Univ Cracow, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2017年 / 28卷 / 02期
关键词：
Norm-parallelism; M-ideal; Extreme point; Compact operator; COMPACT-OPERATORS; SPACES;
D O I：
10.1016/j.indag.2016.07.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, motivated by the results published by Zamani and Moslehian (2016), we study the relation of norm-parallelism for certain operators. The main aim of this paper is to give some characterizations of the norm-parallelism for bounded linear operators between Banach spaces. Further, we show that the notion of norm-parallelism may be related to the invariant subspace problem. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：287 / 293
页数：7
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