Abstract
Weyl type theorems have been proved for a considerably large number of classes of operators. In this paper, by introducing the class of quasi totally hereditarily normaloid operators, we obtain a theoretical and general framework from which Weyl type theorems may be promptly established for many of these classes of operators. This framework also entails Weyl type theorems for perturbations f(T + K), where K is algebraic and commutes with T, and f is an analytic function, defined on an open neighborhood of the spectrum of T + K, such that f is non constant on each of the components of its domain.
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This research was supported by CDCHTA of Universidad de los Andes, Project I-1295-12-05-A.
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Aiena, P., Guillén, J.R. & Peña, P. A Unifying Approach to Weyl Type Theorems for Banach Space Operators. Integr. Equ. Oper. Theory 77, 371–384 (2013). https://doi.org/10.1007/s00020-013-2097-6
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DOI: https://doi.org/10.1007/s00020-013-2097-6