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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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Preservation of the range under perturbations of an operator
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by Branko Ćurgus and Branko Najman PDF
Proc. Amer. Math. Soc. 125 (1997), 2627-2631 Request permission

Abstract:

A sufficient condition for the stability of the range of a positive operator in a Hilbert space is given. As a consequence, we get a class of additive perturbations which preserve regularity of the critical point $0$ of a positive operator in a Krein space.
References
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Additional Information
  • Branko Ćurgus
  • Affiliation: Department of Mathematics, Western Washington University, Bellingham, Washington 98225
  • Email: curgus@cc.wwu.edu
  • Branko Najman
  • Affiliation: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
  • Email: najman@cromath.math.hr
  • Received by editor(s): October 2, 1995
  • Received by editor(s) in revised form: March 18, 1996
  • Additional Notes: Professor Najman died in August 1996.
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2627-2631
  • MSC (1991): Primary 47B50, 47B25; Secondary 46C20
  • DOI: https://doi.org/10.1090/S0002-9939-97-03840-9
  • MathSciNet review: 1389513