English

Relaxed commutant lifting: an equivalent version and a new application

Functional Analysis 2007-05-23 v1 Optimization and Control

Abstract

This paper presents a few additions to commutant lifting theory. An operator interpolation problem is introduced and shown to be equivalent to the relaxed commutant lifting problem. Using this connection a description of all solutions of the former problem is given. Also a new application, involving bounded operators induced by H2H^2 operator-valued functions, is presented.

Keywords

Cite

@article{arxiv.math/0702835,
  title  = {Relaxed commutant lifting: an equivalent version and a new application},
  author = {A. E. Frazho and S. ter Horst and M. A. Kaashoek},
  journal= {arXiv preprint arXiv:math/0702835},
  year   = {2007}
}

Comments

14 pages