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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The spectra of subnormal operators


Author: C. R. Putnam
Journal: Proc. Amer. Math. Soc. 28 (1971), 473-477
MSC: Primary 47.40
MathSciNet review: 0275215
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Abstract: It is shown that a subnormal operator having its spectrum on a simple closed curve is necessarily normal, and that the corresponding assertion with ``subnormal'' replaced by ``hyponormal'' is in general false.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0275215-8
PII: S 0002-9939(1971)0275215-8
Keywords: Spectra of hyponormal operators, spectra of subnormal operators, measure of spectrum
Article copyright: © Copyright 1971 American Mathematical Society