Small commutators and invariant subspaces
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- by Hua Xin Lin PDF
- Proc. Amer. Math. Soc. 96 (1986), 443-446 Request permission
Abstract:
Let $A$ be an operator on a Banach space, and let $T$ be a nonzero compact (polynomial compact) operator. We prove that if $TA - AT$ is "small", then $A$ has a nontrivial (hyper)invariant subspace.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 443-446
- MSC: Primary 47A15; Secondary 47B47
- DOI: https://doi.org/10.1090/S0002-9939-1986-0822436-X
- MathSciNet review: 822436