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OPERATORS SIMILAR TO NORMALOID OPERATORS
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 Title & Authors
OPERATORS SIMILAR TO NORMALOID OPERATORS
Zhu, Sen; Li, Chun Guang;
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 Abstract
In this paper, the authors investigate the structure of operators similar to normaloid and transloid operators. In particular, we characterize the interior of the set of operators similar to normaloid (transloid, respectively) operators. This gives a concise spectral condition to determine when an operator is similar to a normaloid or transloid operator. Also it is proved that any Hilbert space operator has a compact perturbation with transloid property. This is used to give a negative answer to a problem posed by W. Y. Lee, concerning Weyl`s theorem.
 Keywords
normaloidity;transloid operators;similarity;numerical radius;spectral sets;
 Language
English
 Cited by
 References
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