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Proceedings of the American Mathematical Society

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

 

 

An operator still not satisfying Lomonosov's hypothesis


Author: Don Hadwin
Journal: Proc. Amer. Math. Soc. 123 (1995), 3039-3041
MSC: Primary 47A15; Secondary 47B37
DOI: https://doi.org/10.1090/S0002-9939-1995-1264812-5
MathSciNet review: 1264812
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Abstract: It was shown that quasianalytic unilateral shifts do not satisfy the hypothesis of a famous invariant subspace theorem of V. Lomonosov. We prove that these same shifts do not satisfy the hypothesis of Lomonosov's recent improvement of his theorem.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1264812-5
Article copyright: © Copyright 1995 American Mathematical Society