Abstract
As in Chapter 2 the generator K0will be perturbed in two ways. First there will be a “regular” perturbation, being a multiplication operatorVand secondly, there will be a potential barrier on F, a closed subset ofE.The aim of this chapter is to study Hilbert-Schmidt properties for resolvent and/or semigroup differences corresponding to both kinds of perturbations. In part A we consider regular perturbations. The main results and estimates in section A of this chapter can be found in Theorem 5.6 and 5.7, and the most important theorems in section B are Theorem 5.12 and 5.16.
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© 2000 Springer Basel AG
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Demuth, M., van Casteren, J.A. (2000). Hilbert-Schmidt Properties of Resolvent and Semigroup Differences. In: Stochastic Spectral Theory for Selfadjoint Feller Operators. Probability and Its Applications. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8460-0_5
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DOI: https://doi.org/10.1007/978-3-0348-8460-0_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9577-4
Online ISBN: 978-3-0348-8460-0
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