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On operators with unitary ϱ-dilations

T. AndoK. Takahashi — 1997

Annales Polonici Mathematici

We show a polynomially boundend operator T is similar to a unitary operator if there is a singular unitary operator W and an injection X such that XT = WX. If, in addition, T is of class C ϱ , then T itself is unitary.

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