On the irreducibility of a class of homogeneous operators

Details On the irreducibility of a class of homogeneous operators On the irreducibility of a class of homogeneous operators

2006-11-21

arxiv.org/abs/math/0611631v1

Mathematics

Functional Analysis

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the irreducibility of a class of homogeneous operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the irreducibility of a class of homogeneous operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the irreducibility of a class of homogeneous operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-338827