The one‐dimensional Schrödinger operator on bounded time scales |
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| Authors: | Hüseyin Tuna Mehmet Afşin Özek |
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| Affiliation: | 1. Department of Mathematics, Mehmet Akif Ersoy University, Burdur, Turkey;2. Department of Mathematics, Süleyman Demirel University, Isparta, Turkey |
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| Abstract: | In this paper, we consider the one‐dimensional Schrödinger operator on bounded time scales. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self‐adjoint, and other extensions of the dissipative Schrödinger operators in terms of boundary conditions. In particular, using Lidskii's theorem, we prove a theorem on completeness of the system of root vectors of the dissipative Schrödinger operators on bounded time scales. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | time scales the one‐dimensional Schrö dinger operator Δ ‐differentiable dissipative operator completeness of the system of eigenvectors and associated vectors Lidskii's theorem boundary value space |
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