Relaxed commutant lifting: Existence of a unique solution

ter Horst, S.

doi:10.1090/S0002-9939-09-09813-X

Relaxed commutant lifting: Existence of a unique solution
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Proc. Amer. Math. Soc. 137 (2009), 2697-2707 Request permission

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.

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