Algebras associated with Blaschke products of type {\it G}

Details Algebras associated with Blaschke products of type {\it G} Algebras associated with Blaschke products of type {\it G}

1995-12-14

arxiv.org/abs/math/9512220v1

Mathematics

Operator Algebras

Scientific paper

Let $\Omega$ and $\Omega_{\fin}$ be the sets of all interpolating Blaschke products of type $G$ and of finite type $G$, respectively. Let $E$ and $E_{\fin}$ be the Douglas algebras generated by $H^\infty$ together with the complex conjugates of elements of $\Omega$ and $\Omega_{\fin}$, respectively. We show that the set of all invertible inner functions in $E$ is the set of all finite products of elements of $\Omega$ , which is also the closure of $\Omega$ among the Blaschke products. Consequently, finite convex combinations of finite products of elements of $\Omega$ are dense in the closed unit ball of the subalgebra of $H^\infty$ generated by $\Omega$. The same results hold when we replace $\Omega$ by $\Omega_{\fin}$ and $E$ by $E_{\fin}$.

Affiliated with

Also associated with

No associations

Rating

Algebras associated with Blaschke products of type {\it G} 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 Algebras associated with Blaschke products of type {\it G}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebras associated with Blaschke products of type {\it G} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651520