Skip to main content
Article thumbnail
Location of Repository

Optimal solutions to matrix-valued Nehari problems and related limit theorems

By A. E. Frazho, S. ter Horst and M. A. Kaashoek

Abstract

In a 1990 paper Helton and Young showed that under certain conditions the optimal solution of the Nehari problem corresponding to a finite rank Hankel operator with scalar entries can be efficiently approximated by certain functions defined in terms of finite dimensional restrictions of the Hankel operator. In this paper it is shown that these approximants appear as optimal solutions to restricted Nehari problems. The latter problems can be solved using relaxed commutant lifting theory. This observation is used to extent the Helton and Young approximation result to a matrix-valued setting. As in the Helton and Young paper the rate of convergence depends on the choice of the initial space in the approximation scheme.Comment: 22 page

Topics: Mathematics - Functional Analysis, 47A57, 47B35 (Primary) 93B15, 93B36 (Secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1104.5358
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1104.5358 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.