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The \(H^\infty\)-functional calculus for completely non-unitary contractions. (English) Zbl 0306.47009

MSC:

47A60 Functional calculus for linear operators
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
47A45 Canonical models for contractions and nonselfadjoint linear operators
46A03 General theory of locally convex spaces
47L05 Linear spaces of operators