Wolff's Theorem on Ideals for Matrices
Functional Analysis
2013-04-11 v1 Operator Algebras
Abstract
We extend Wolff's theorem concerning ideals on H-infinity(D) to the matrix case, giving conditions under which an H-infinity solution G to the equation FG = H exists for all z in D, where F is an m-by-infinity matrix of functions in H-infinity (D), and H is an m-by-1 vector of such functions. We then examine several useful results.
Cite
@article{arxiv.1304.2918,
title = {Wolff's Theorem on Ideals for Matrices},
author = {Caleb Holloway and Tavan Trent},
journal= {arXiv preprint arXiv:1304.2918},
year = {2013}
}