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Proceedings of the American Mathematical Society

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

 

 

An invariant subspace theorem


Author: Mary R. Embry
Journal: Proc. Amer. Math. Soc. 32 (1972), 331-332
MSC: Primary 47.35
DOI: https://doi.org/10.1090/S0002-9939-1972-0288610-9
MathSciNet review: 0288610
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Abstract: A continuous linear operator on a complex Banach space of dimension greater than 1 which is strictly cyclic with respect to its commutant is shown to have a nontrivial closed invariant subspace.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0288610-9
Keywords: Banach space, commutant, strictly cyclic, invariant subspace
Article copyright: © Copyright 1972 American Mathematical Society