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Abstract. A new description is given of all solutions to the relaxed commutant lifting problem. The method of proof is also different from earlier ones, and uses only an operator-valued version of a classical lemma on harmonic majorants.
AMS Subject Classification
(1991): 47A20, 47A57, 31A05, 47A56
Keyword(s):
commutant lifting,
positive real functions,
harmonic majorants,
parameterization
Received September 13, 2005, and in revised form March 14, 2006. (Registered under 5922/2009.)
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