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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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On generalized Weyl operators
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by Dragan S. Djordjević PDF
Proc. Amer. Math. Soc. 130 (2002), 81-84 Request permission

Abstract:

The “generalized Weyl” operators between two Hilbert spaces are taken to be those with closed range for which the null space and that of the adjoint are of equal Hilbert space dimension. We show that products of two of these which happen to have closed range, and finite rank perturbation of these, are also generalized Weyl.
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Additional Information
  • Dragan S. Djordjević
  • Affiliation: Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, Ćirila i Metodija 2 18000 Niš, Yugoslavia
  • Email: dragan@pmf.pmf.ni.ac.yu, ganedj@eunet.yu
  • Received by editor(s): May 17, 2000
  • Published electronically: April 26, 2001
  • Communicated by: Joseph A. Ball
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 81-84
  • MSC (2000): Primary 47A53, 47A55
  • DOI: https://doi.org/10.1090/S0002-9939-01-06081-6
  • MathSciNet review: 1855623