Nevanlinna-Pick interpolation for $C+BH^\infty$

Details Nevanlinna-Pick interpolation for $C+BH^\infty$ Nevanlinna-Pick interpolation for $C+BH^\infty$

2008-03-09

arxiv.org/abs/0803.1278v3

Mathematics

Functional Analysis

19 pages, no figures

Scientific paper

Given an inner function $B$ we classify the invariant subspaces of the
algebra $H^\infty_B:=\mathbb{C}+BH^\infty$. We derive a formula in terms of
these invariant subspaces for the distance of an element in $L^\infty$ to a
certain weak*-closed ideal in $H^\infty_B$ and use this to prove an analogue of
the Nevanlinna-Pick interpolation theorem.

Affiliated with

Also associated with

No associations

Rating

Nevanlinna-Pick interpolation for $C+BH^\infty$ 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 Nevanlinna-Pick interpolation for $C+BH^\infty$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nevanlinna-Pick interpolation for $C+BH^\infty$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457949