Abstract
The aim of this paper is to explore the stability of several Weyl type theorems (including Weyl’s theorem, a-Weyl’s theorem, Browder’s theorem and a-Browder’s theorem) under compact perturbations in the setting of Hilbert space. It is completely determined when these spectral properties are invariant under compact perturbations. As an application, Weyl type theorems for Toeplitz operators are discussed.
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Jia, B., Feng, Y. Weyl Type Theorems Under Compact Perturbations. Mediterr. J. Math. 15, 3 (2018). https://doi.org/10.1007/s00009-017-1051-2
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DOI: https://doi.org/10.1007/s00009-017-1051-2