Refinements of the Norm of Two Orthogonal Projections

被引：0
|
作者：
Li, Xiaohui [1 ]
Liu, Meiqi [1 ]
Deng, Chunyuan [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 4期
关键词：
norm; orthogonal projection; positive operator; spectral; block operator valued matrix; OPERATORS; SPECTRA; DIFFERENCE; PRODUCT;
D O I：
10.1007/s10473-024-0403-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some refinements of norm equalities and inequalities of combination of two orthogonal projections are established. We use certain norm inequalities for positive contraction operator to establish norm inequalities for combination of orthogonal projections on a Hilbert space. Furthermore, we give necessary and sufficient conditions under which the norm of the above combination of orthogonal pro jections attains its optimal value.
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页码：1229 / 1243
页数：15
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