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Transactions of the American Mathematical Society

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

 
 

 

A local spectral theory for operators. V. Spectral subspaces for hyponormal operators


Author: Joseph G. Stampfli
Journal: Trans. Amer. Math. Soc. 217 (1976), 285-296
MSC: Primary 47B20; Secondary 47A15
DOI: https://doi.org/10.1090/S0002-9947-1976-0420325-4
MathSciNet review: 0420325
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Abstract: In the first part of the paper we show that the local resolvent of a hyponormal operator satisfies a rather stringent growth condition. This result enables one to show that under a mild restriction, hyponormal operators satisfy Dunford's C condition. This in turn leads to a number of corollaries concerning invariant subspaces. In the second part we consider the local spectrum of a subnormal operator. The third section is concerned with the study of quasi-triangular hyponormal operators.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0420325-4
Keywords: Hyponormal operator, subnormal operator, local spectrum, local resolvent, quasi-triangular operator
Article copyright: © Copyright 1976 American Mathematical Society

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