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2017
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Spectra of anticommutator for two orthogonal projections
Yan-Ni Dou
H. Du
Yue-qing Wang
Abstrak
In this note, for any two orthogonal projection $P,Q$ on a Hilbert space, the characterization of spectrum of anticommutator $PQ+QP$ has been obtained. As a corollary, the norm formula $$\parallel PQ+QP\parallel=\parallel PQ\parallel+\parallel PQ\parallel^2$$ has been got an alternative proof (see Sam Waltrs, Anticommutator norm formula for projection operators, arXiv:1604.00699vl [math.FA] 3 Apr 2016)
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Penulis (3)
Y
Yan-Ni Dou
H
H. Du
Y
Yue-qing Wang
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