Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Anticommutant lifting and anticommuting dilation
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by Zoltán Sebestyén
Proc. Amer. Math. Soc. 121 (1994), 133-136
DOI: https://doi.org/10.1090/S0002-9939-1994-1176485-X

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.
References
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Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 133-136
  • MSC: Primary 47A20; Secondary 47N70, 93C05
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1176485-X
  • MathSciNet review: 1176485