GENERALIZED QUADRATIC OPERATORS AND PERTURBATIONS

被引：1

作者：

Souilah, Khalid ^{[1
]}

机构：

[1] Univ Mohammed Premier, Fac Sci Oujda, Dept Math Labo Ibn AlBanna, Oujda 60000, Morocco

来源：

MATHEMATICA BOHEMICA | 2022年 / 147卷 / 01期

关键词：

generalized quadratic operator; perturbation classes problem;

D O I：

10.21136/MB.2021.0010-20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a complete description of the perturbation class and the commuting perturbation class of all generalized quadratic bounded operators with respect to a given idempotent bounded operator in the context of complex Banach spaces. Furthermore, we give simple characterizations of the generalized quadraticity of linear combinations of two generalized quadratic bounded operators with respect to a given idempotent bounded operator.

引用

页码：51 / 63

页数：13

共 13 条

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