Anticommutant lifting and anticommuting dilation

Author:

Sebestyén Zoltán

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. On a pair of commutative contractions;Andô, T.;Acta Sci. Math. (Szeged),1963

2. A strong Parrott theorem;Foias, Ciprian;Proc. Amer. Math. Soc.,1989

3. On a quotient norm and the Sz.-Nagy - Foiaş lifting theorem;Parrott, Stephen;J. Functional Analysis,1978

4. A proof of Parrott’s theorem on quotient norms;Sebestyén, Z.;Period. Math. Hungar.,1989

5. \bysame, Parrott’s theorem versus strong Parrott theorem, Semesterberichte Funktionalanalysis Tübingen, Wintersemester 89/90, pp. 227-229.

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