On the irreducibility of a class of homogeneous operators
Functional Analysis
2007-05-23 v1 Representation Theory
Abstract
In this paper we construct a class of homogeneous Hilbert modules over the disc algebra as quotients of certain natural modules over the function algebra . 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 and that they are mutually inequivalent, irreducible and homogeneous.
Cite
@article{arxiv.math/0611631,
title = {On the irreducibility of a class of homogeneous operators},
author = {Gadadhar Misra and Subrata Shyam Roy},
journal= {arXiv preprint arXiv:math/0611631},
year = {2007}
}