On Schur-Cohn Stability of a Product of Operators in a Hilbert Space

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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  • EP ID EP481516
  • DOI 10.7151/dmdico.1192
  • Views 46
  • Downloads 0

How To Cite

Michael I. Gil' (2017). On Schur-Cohn Stability of a Product of Operators in a Hilbert Space. Discussiones Mathematicae Differential Inclusions Control and Optimization, 37(1), 61-68. https://europub.co.uk/articles/-A-481516