Topology of the Maximal Ideal Space of $H^{\infty}$

Details Topology of the Maximal Ideal Space of $H^{\infty}$ Topology of the Maximal Ideal Space of $H^{\infty}$

1999-08-30

arxiv.org/abs/math/9908168v1

Mathematics

Complex Variables

Scientific paper

We study the structure of the maximal ideal space $M(H^{\infty})$ of the algebra $H^{\infty}=H^{\infty}(\Di)$ of bounded analytic functions defined on the open unit disk $\Di\subset\Co$. Based on the fact that $dim\ M(H^{\infty})=2$ we prove for $H^{\infty}$ the matrix-valued corona theorem. Our results heavily rely on the topological construction describing maximal ideal spaces of certain algebras of continuous functions defined on the covering spaces of compact manifolds.

Affiliated with

Also associated with

No associations

Rating

Topology of the Maximal Ideal Space of $H^{\infty}$ 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 Topology of the Maximal Ideal Space of $H^{\infty}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topology of the Maximal Ideal Space of $H^{\infty}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200291