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Proceedings of the American Mathematical Society

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

 

 

A hyponormal operator whose spectrum is not a spectral set


Author: Bhushan L. Wadhwa
Journal: Proc. Amer. Math. Soc. 38 (1973), 83-85
DOI: https://doi.org/10.1090/S0002-9939-1973-0310690-3
MathSciNet review: 0310690
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Abstract: Clancey has given an example of a hyponormal, nonnormal operator whose spectrum is thin and hence not a spectral set. In this note, using fairly simple techniques, we give an example of a hyponormal operator whose spectrum contains a disc and is not a spectral set.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0310690-3
Article copyright: © Copyright 1973 American Mathematical Society