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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Invariant subspaces: continuous stability implies smooth stability


Authors: Lyle Noakes and Kin Yan Chung
Journal: Proc. Amer. Math. Soc. 120 (1994), 119-126
MSC: Primary 47A15; Secondary 15A04
DOI: https://doi.org/10.1090/S0002-9939-1994-1203990-X
MathSciNet review: 1203990
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Abstract: The stability of an invariant subspace is defined in the terms of the existence of a certain type of function. The imposition of further conditions on this function leads to different forms of stability. Of these, the equivalence of continuous and smooth stability is proved; two proofs are offered for comparison.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1203990-X
Article copyright: © Copyright 1994 American Mathematical Society