Relaxed commutant lifting: existence of a unique solution

Details Relaxed commutant lifting: existence of a unique solution Relaxed commutant lifting: existence of a unique solution

2008-08-18

arxiv.org/abs/0808.2479v1

Mathematics

Functional Analysis

10 pages

Scientific paper

In this paper we present necessary and sufficient conditions for the existence of a unique solution to the relaxed commutant lifting problem. The obtained conditions are more complicated than those for the classical commutant lifting setting, and earlier obtained sufficient conditions turn out not to be necessary conditions. It is also shown that these conditions simplify in certain special cases.

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