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
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