Spectra of anticommutator for two orthogonal projections
Abstract
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 PQ+QP= PQ+ PQ2 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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