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http://dx.doi.org/10.4134/BKMS.2006.43.2.389

SPECTRAL CONTINUITY OF ESSENTIALLY p-HYPONORMAL OPERATORS  

Kim, An-Hyun (DEPARTMENT OF MATHEMATICS, CHANGWON NATIONAL UNIVERSITY)
Kwon, Eun-Young (DEPARTMENT OF MATHEMATICS, CHANGWON NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 389-393 More about this Journal
Abstract
In this paper it is shown that the spectrum ${\sigma}$ is continuous at every p-hyponormal operator when restricted to the set of essentially p-hyponormal operators and moreover ${\sigma}$ is continuous when restricted to the set of compact perturbations of p-hyponormal operators whose spectral pictures have no holes associated with the index zero.
Keywords
spectrum; spectral radius; p-hyponormal operators; essentially p-hyponormal operators;
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