On Schur-Cohn Stability of a Product of Operators in a Hilbert Space
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 1
Abstract
A linear operator is said to be a Schur-Cohn stable one if its spectral radius is less than one. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be Schur-Cohn stable. What conditions provide the Schur-Cohn stability of AB? Our stability conditions for AB are formulated in terms of the commutator AB-BA.
Authors and Affiliations
Michael I. Gil'
Keywords
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