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math.FA2013
Spectral and homological properties of Hilbert modules over the disc algebra
Raphaël Clouâtre
We study general Hilbert modules over the disc algebra and exhibit necessary spectral conditions for the vanishing of certain associated extension groups. In particular, this sheds…
math.OA2013
Unitary equivalence and similarity to Jordan models for weak contractions of class
Raphaël Clouâtre
We obtain results on the unitary equivalence of weak contractions of class to their Jordan models under an assumption on their commutants. In particular, our work addresses t…
math.OA2013
On the unilateral shift as a Hilbert module over the disc algebra
Raphaël Clouâtre
We study the unilateral shift (of arbitrary countable multiplicity) as a Hilbert module over the disc algebra and the associated extension groups. In relation with the problem of d…