Fa-Weyl's theorem and a-Weyl's theorem for bounded linear operators
Both Fa-Weyl's theorem and a-Weyl's theorem are the variants of Weyl's theorem.The study of Weyl's type theorems is very important for spectral theory.By defining a new spectral set in this paper,sufficient and necessary conditions for a bounded linear operator T definded on a Hilbert space to satisfy the Fa-Weyl's theorem and the a-Weyl's theorem are established.In addition,we discuss the Fa-Weyl's theorem and the a-Weyl's theorem of bounded linear operator T under a finite rank perturbation.
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维普
