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The relaxed commutant lifting problem as a general H2 interpolation problem
by
Sanne ter Horst
Virginia Tech
Coauthors: A.E. Frazho and M.A. Kaashoek
We show that the relaxed commutant lifting problem can be seen as a special case of a general interpolation problem for a certain class of operator-valued H2-functions. In this case the data for this general interpolation problem is a contraction of a particular form that is underlying the relaxed commutant lifting data. It turns out that the two problems are in fact equivalent, as any contraction of the required form appears as the underlying contraction of some relaxed commutant lifting problem. Results on relaxed commutant lifting then provide a representation of all solutions for the general interpolation problem. We consider some applications and questions arising from the equivalence.
Date received: February 19, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-60.