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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Constructing units in product systems
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by Volkmar Liebscher and Michael Skeide PDF
Proc. Amer. Math. Soc. 136 (2008), 989-997 Request permission

Abstract:

We prove a criterion that allows us to construct units in product systems of correspondences with prescribed infinitesimal characterizations. This criterion summarizes proofs of known results and new applications. It also frees the hypotheses from the assumption that the units are contained in a product system of time ordered Fock modules.
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Additional Information
  • Volkmar Liebscher
  • Affiliation: Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, 17487 Greifswald, Germany
  • Email: volkmar.liebscher@uni-greifswald.de
  • Michael Skeide
  • Affiliation: Dipartimento S.E.G.e S., Università degli Studi del Molise, Via de Sanctis, 86100 Campobasso, Italy
  • Email: skeide@math.tu-cottbus.de
  • Received by editor(s): May 11, 2006
  • Received by editor(s) in revised form: December 15, 2006
  • Published electronically: November 30, 2007
  • Additional Notes: The second author was supported by DAAD and by research funds of the Department S.E.G.e S. of the University of Molise
  • Communicated by: Andreas Seeger
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 989-997
  • MSC (2000): Primary 46L55, 46L53, 60G20
  • DOI: https://doi.org/10.1090/S0002-9939-07-09056-9
  • MathSciNet review: 2361873