Anticommutant lifting and anticommuting dilation

Sebestyén, Zoltán

doi:10.1090/S0002-9939-1994-1176485-X

Anticommutant lifting and anticommuting dilation
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Proc. Amer. Math. Soc. 121 (1994), 133-136 Request permission

Abstract:

In this paper we prove the anticommutant counterpart of the Sz.-Nagy-Foiaş commutant lifting theorem and Ando’s theorem on unitary dilation of a pair of commutative contractions. A dual extension theorem applies in the one-step procedure of our approach.

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