Invariant subspaces: continuous stability implies smooth stability

Noakes, Lyle; Chung, Kin Yan

doi:10.1090/S0002-9939-1994-1203990-X

Invariant subspaces: continuous stability implies smooth stability
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Proc. Amer. Math. Soc. 120 (1994), 119-126 Request permission

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.

References

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