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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Local spectra of seminormal operators


Authors: Kevin F. Clancey and Bhushan L. Wadhwa
Journal: Trans. Amer. Math. Soc. 280 (1983), 415-428
MSC: Primary 47B20; Secondary 47A10
DOI: https://doi.org/10.1090/S0002-9947-1983-0712269-9
MathSciNet review: 712269
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Abstract: The local spectral theory of seminormal operators is studied by examining the connection between two naturally occurring contractive operator functions. These results are used to control the local spectra of cohyponormal operators. An invariant subspace result for seminormal operators whose real part has thin spectra is provided.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1983-0712269-9
Keywords: Seminormal operators, subnormal operators, local spectrum, Bergman shift
Article copyright: © Copyright 1983 American Mathematical Society