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

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Invariant subspaces and perturbations
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by Lyle Noakes
Proc. Amer. Math. Soc. 114 (1992), 365-370
DOI: https://doi.org/10.1090/S0002-9939-1992-1087467-9
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Abstract:

We study the stability of proper closed invariant subspaces with respect to perturbations in norm of continuous operators on a Hubert space, using a nonlinear ${C^\infty }$ map of Banach spaces.
References
  • Serge Lang, Introduction to differentiable manifolds, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155257
  • Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77, Springer-Verlag, New York-Heidelberg, 1973. MR 0367682
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Bibliographic Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 365-370
  • MSC: Primary 47A15; Secondary 47A55, 47B07, 58C15
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1087467-9
  • MathSciNet review: 1087467