A local spectral theory for operators. V. Spectral subspaces for hyponormal operators
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- by Joseph G. Stampfli PDF
- Trans. Amer. Math. Soc. 217 (1976), 285-296 Request permission
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.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- 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