Examples

Jan Nesemann

Chapter Chapter 3 in PT-Symmetric Schrödinger Operators with Unbounded Potentials, 2011, pp 65-77 from Springer

Abstract: Abstract In this chapter we present examples and applications for the main results of Chapter 1 on relatively bounded perturbations of self-adjoint operators in Krein spaces. While the family of operators Aε, ε ∈ [0,1], of the first example (Section 3.1) is also self-adjoint in a Hilbert space, which includes the spectrum of Aε being real, the operators Aε of the remaining two examples (Section 3.2 and Section 3.3) are not. The family of operators considered in Section 3.3 was introduced by E. Caliceti and S. Graffi in [CG05].

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-8348-8327-8_4

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DOI: 10.1007/978-3-8348-8327-8_4

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