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Analytically Class A operators and Weyl's theorem
Authors:Xiaohong Cao
Institution:College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, People's Republic of China
Abstract:Using the new spectrum set defined in this note, we give the necessary and sufficient condition for T which the Weyl's theorem holds. We also consider how the Weyl's theorem survives for analytically Class A operators.
Keywords:Weyl's theorem  Browder's theorem  Spectrum
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