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Spectra of anticommutator for two orthogonal projections.

Authors :
Dou, Yan-Ni
Wang, Yue-Qing
Cui, Miao-Miao
Du, Hong-Ke
Source :
Linear & Multilinear Algebra. Oct2019, Vol. 67 Issue 10, p2077-2081. 5p.
Publication Year :
2019

Abstract

In this note, for any two orthogonal projections P,Q on a Hilbert space, the characterization of spectrum of anticommutator PQ+QP has been obtained. As a corollary, an alternative proof of the norm formula has been obtained (see Walters S. Anticommutator norm formula for projection operators, arXiv:1604.00699vl [math.FA] 3 Apr 2016). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03081087
Volume :
67
Issue :
10
Database :
Academic Search Index
Journal :
Linear & Multilinear Algebra
Publication Type :
Academic Journal
Accession number :
137844109
Full Text :
https://doi.org/10.1080/03081087.2018.1481358