Some Characterizations of the Quasi-Projection Pair

被引：0

作者：

Li, Xiaohui ^{[1
]}

Deng, Chunyuan ^{[1
]}

Deng, Xindi ^{[2
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

[2] South China Univ Technol, Sch Automat Sci & Engn, Key Lab Autonomous Syst & Network Control, Minist Educ, Guangzhou 510641, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2025年 / 51卷 / 02期

关键词：

Projection; Idempotent; Spectrum; Quasi-projection pair; OPERATORS;

D O I：

10.1007/s41980-024-00931-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this article is to study the properties of the quasi-projection pair (P, Q) with projection P and idempotent Q defined on a Hilbert space. We present characterizations of quasi-projection pairs in terms of spectrum, Hilbert space decomposition and norm inequalities. To this end a matrix representation of a quasi-projection pair with respect to their ranges is described.

引用

页数：26

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