Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON THE SIMPLICITY OF OPERATOR KNOTS

DO CONG KHANH

pp. 27-35

Abstract

The problem of the complete nonunitariness of contractions was studied in [1] and [2]. In this paper we obtain a general criterion for the complete nonunitariness of an arbitrary contraction. The obtained results are applied to the study of concrete model operators.