Proceedings of the American Mathematical Society

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



On quasi-affine transforms of unilateral shifts

Author: Katsutoshi Takahashi
Journal: Proc. Amer. Math. Soc. 100 (1987), 683-687
MSC: Primary 47A65; Secondary 47B37
MathSciNet review: 894438
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Abstract: It is shown that if a contraction $ T$ is a quasiaffine transform of a unilateral shift of finite multiplicity, then both the approximate point spectrum and the essential spectrum of $ T$ coincide with the unit circle.

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Keywords: Contraction, quasiaffine transform, unilateral shift, approximate point spectrum, essential spectrum
Article copyright: © Copyright 1987 American Mathematical Society