Abstract
The present chapter is devoted to linear operators of the type A = D + W + + W -, where D is a normal invertible operator and D -1 W ± are Volterra (compact quasinilpotent) operators. Numerous differential and integro-differential operators are examples of such operators. We derive estimates for the resolvents and bounds for the spectra.
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 12 Relatively Compact Perturbations of Normal Operators. In: Operator Functions and Localization of Spectra. Lecture Notes in Mathematics, vol 1830. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45225-6_12
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DOI: https://doi.org/10.1007/978-3-540-45225-6_12
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20246-2
Online ISBN: 978-3-540-45225-6
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