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.
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页数：26
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