On the irreducibility of a class of homogeneous operators

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In this paper we construct a class of homogeneous Hilbert modules over the disc algebra $\mathcal{A}(\mathbb D)$ as quotients of certain natural modules over the function algebra $\mathcal{A}(\mathbb D^2)$. These quotient modules are described using the jet construction for Hilbert modules. We show that the quotient modules obtained this way, belong to the class ${\mathrm B}_k(\mathbb D)$ and that they are mutually inequivalent, irreducible and homogeneous.

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Functional Analysis, Representation Theory, 47A

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http://salesiana.dossiersoluciones.com/handle/123456789/119364

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611631
 http://arxiv.org/abs/math/0611631

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arXiv