Abstract
In the last four chapters we have developed some fundamentals for the spectral theory of Feller operators. In this section we will put these ideas to work in order to investigate some consequences for the different parts of the spectra of the operators \( K\dot + V \) and \( {\left( {{K_0}\dot + V} \right)_\Sigma } \) For the free Feller operatorKowe make again the general assumptions BASSA as set forth in the conditions A.1.¡ªA.4. in Chapter 1.B. Additionally we assume that exp (− tK0) is L1-L∞-smoothing (see Definition 1.1). This means that for everyt> 0 there exists a finite constant etsuch that
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© 2000 Springer Basel AG
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Demuth, M., van Casteren, J.A. (2000). Spectral Properties of Self-adjoint Feller Operators. In: Stochastic Spectral Theory for Selfadjoint Feller Operators. Probability and Its Applications. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8460-0_8
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DOI: https://doi.org/10.1007/978-3-0348-8460-0_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9577-4
Online ISBN: 978-3-0348-8460-0
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