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REFINEMENTS OF THE NORM OF TWO ORTHOGONAL PROJECTIONS

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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 projections attains its optimal value.

normorthogonal projectionpositive operatorspectralblock operator valued matrix

李晓辉、刘美琪、邓春源

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School of Mathematics Science,South China Normal University,Guangzhou 510631,China

2024

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子:0.256
ISSN:0252-9602
年,卷(期):2024.44(4)
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