Relaxed commutant lifting: Existence of a unique solution

Authors :: S. ter Horst
Source :: Proceedings of the American Mathematical Society. 137:2697-2697
Publication Year :: 2009
Publisher :: American Mathematical Society (AMS), 2009.
Abstract: 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.<br />Comment: 10 pages