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Weyl type theorems for left and right polaroid operators. (English) Zbl 1247.47002

The authors investigate the equivalences of Weyl type theorems and generalized Weyl type theorems for left and a-polaroid operators. As a consequence, they obtain a general framework which allows them to derive in a unified way many recent results concerning Weyl type theorems for important classes of operators. A bounded operator defined on a Banach space is said to be polaroid if every isolated point of the spectrum is a pole of the resolvent.

MSC:

47A10 Spectrum, resolvent
47A11 Local spectral properties of linear operators
47A53 (Semi-) Fredholm operators; index theories
47A55 Perturbation theory of linear operators
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