Duality, Tangential Interpolation, and Toeplitz Corona Problems
Functional Analysis
2011-03-08 v2 Complex Variables
Abstract
In this paper we extend a method of Arveson and McCullough to prove a tangential interpolation theorem for subalgebras of . This tangential interpolation result implies a Toelitz corona theorem. In particular, it is shown that the set of matrix positivity conditions is indexed by cyclic subspaces, which is analogous to the results obtained for the ball and the polydisk algebra by Trent-Wick and Douglas-Sarkar.
Keywords
Cite
@article{arxiv.0912.2340,
title = {Duality, Tangential Interpolation, and Toeplitz Corona Problems},
author = {Mrinal Raghupathi and Brett D. Wick},
journal= {arXiv preprint arXiv:0912.2340},
year = {2011}
}
Comments
17 pages, no figures, to appear in Integral Equations and Operator Theory