Nonlinear preservers problem of complex symmetric operators

被引：2

作者：

Amara, Zouheir ^{[1
]}

Oudghiri, Mourad ^{[1
]}

机构：

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

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 09期

关键词：

Nonlinear preservers problem; complex symmetric operators; diagonal operators;

D O I：

10.1142/S179355712150162X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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-symmetric if CTC = T*. In this paper, we study some nonlinear preserving problems concerning C-symmetric operators and diagonal operators, as a result, we also describe those nonlinear preservers of the lattice of invariant subspaces.

引用

页数：18

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