Regular factorizations of a characteristic function and singular operator-functions
Copyright policy )Regular factorizations of a characteristic function and singular operator-functions
Regular factorizations of contractive characteristic functions are studied in the book of \textit{B. Sz.-Nagy} and \textit{C. Foiaş} [Harmonic analysis of operators on Hilbert space. Budapest: Akadémiai Kiadó (1970; Zbl 0201.45003), Chapter 7]. It is shown that they correspond to invariant subspaces for the associated operator. In the present article, necessary and sufficient conditions are given for a factorization of a \(J\)-contractive operator characteristic function to be regular. The author explains the difference between this case and the Nagy-Foias criterion.
Functional calculus for linear operators, factorization of a \(J\)-contractive operator characteristic function, Canonical models for contractions and nonselfadjoint linear operators, invariant subspaces, characteristic functions
Functional calculus for linear operators, factorization of a \(J\)-contractive operator characteristic function, Canonical models for contractions and nonselfadjoint linear operators, invariant subspaces, characteristic functions
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