Solution to Problem 11387 [2008,758] : Capturing eigenvalues in an integral

O.P. Lossers

Research output: Contribution to journalArticleProfessional


Proposed by Oskar Maria Baksalary, Adam Mickiewicz University, Poznan, Poland, and Götz Trenkler, Technische Universität Dortmund, Dortmund,Germany. Let Cn,n denote the set of n x n complex matrices. Determine the shortest interval [a, b] such that if P and Q in Cn,n are nonzero orthogonal projectors, that is, Hermitian idempotent matrices, then all eigenvalues of PQ + QP belong to [a, b].
Original languageEnglish
Pages (from-to)746-747
JournalAmerican Mathematical Monthly
Issue number8
Publication statusPublished - 2010


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