Kérchy László honlapja

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Cím:Contractions weakly similar to unitaries. II.
Szerző:K\'erchy, L\'aszl\'o
Forrás:Acta Sci. Math. 51, No.3/4, 475-489 (1987).
Nyelv:English
Absztrakt:This paper is a continuation of the author's previous work in [Oper. Theory, Adv. Appl. 17, 187-200 (1986; Zbl 0586.47008)]. Emphasis is given to contractions T which are weakly similar to unitary operators and whose characteristic functions are not unitaries almost everywhere on the unit circle. Relations between algebras attached to T are studied and the reflexivity of such contractions is proved under an assumption expressed in terms of the characteristic function. These investigations have been further extended in the author's subsequent papers [Acta Math. Hungar. 50, 127-145 (1987; Zbl 0632.47006)] and [Bull. London Math. Soc. 19, 161- 166 (1987; Zbl 0594.47007)].} \RV{L.K\'erchy 
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