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Proceedings of the American Mathematical Society

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

 

 

Growth conditions and similarity orbits


Author: P. Ghatage
Journal: Proc. Amer. Math. Soc. 65 (1977), 127-130
MSC: Primary 47A65
DOI: https://doi.org/10.1090/S0002-9939-1977-0448132-3
MathSciNet review: 0448132
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Abstract: It is proved that an operator T which acts on a separable Hilbert space and whose resolvent satisfies a first-order growth condition inside and outside the unit circle, can be approximated in norm by operators which are similar to a single unitary operator. In particular the 'Markus-operator' can be approximated by similarities of a diagonal unitary operator and is a compact perturbation of the same.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0448132-3
Keywords: Quasitriangular, essential spectrum, similarity orbits
Article copyright: © Copyright 1977 American Mathematical Society