On the irreducibility of a class of homogeneous operators

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dc.creatorMisra, Gadadhar
dc.creatorRoy, Subrata Shyam
dc.date2006-11-21
dc.date.accessioned2026-07-07T07:33:10Z
dc.date.available2026-07-07T07:33:10Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0611631
dc.identifierhttp://arxiv.org/abs/math/0611631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119364
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject47A
dc.titleOn the irreducibility of a class of homogeneous operators
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