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Search: All articles in the CJM digital archive with keyword unitary equivalence

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1. CJM Online first

Clouâtre, Raphaël
Unitary Equivalence and Similarity to Jordan Models for Weak Contractions of Class $C_0$
We obtain results on the unitary equivalence of weak contractions of class $C_0$ to their Jordan models under an assumption on their commutants. In particular, our work addresses the case of arbitrary finite multiplicity. The main tool is the theory of boundary representations due to Arveson. We also generalize and improve previously known results concerning unitary equivalence and similarity to Jordan models when the minimal function is a Blaschke product.

Keywords:weak contractions, operators of class $C_0$, Jordan model, unitary equivalence
Categories:47A45, 47L55

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