On Maps Preserving Skew Symmetric Operators

被引：2

作者：

Amara, Zouheir ^{[1
]}

Oudghiri, Mourad ^{[1
]}

Souilah, Khalid ^{[1
]}

机构：

[1] FSO, Labo LIABM, Dept Math, Oujda 60000, Morocco

来源：

FILOMAT | 2022年 / 36卷 / 01期

关键词：

Nonlinear preservers problem; Skew symmetric operators; Projections;

D O I：

10.2298/FIL2201243A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a conjugation C on a separable complex Hilbert space H, a bounded linear operator T on H is said to be C-skew symmetric if CTC = -T*. This paper describes the maps, on the algebra of all bounded linear operators acting on H, that preserve the difference of C-skew symmetric operators for every conjugation C on H.

引用

页码：243 / 254

页数：12

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