Abstract
Uniform and smooth asymptotics for the solutions of a parametric system of difference equations are obtained. These results are the uniform and smooth generalizations of the Benzaid-Lutz theorem (a Levinson type theorem for discrete linear systems) and are used to develop a technique for proving absence of accumulation points in the pure point spectrum of Jacobi matrices. The technique is illustrated by proving discreteness of the spectrum for a class of unbounded Jacobi operators.
Partially supported by project PAPIIT IN 101902, DGAPA-UNAM.
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Silva, L.O. (2007). Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices. In: Janas, J., Kurasov, P., Laptev, A., Naboko, S., Stolz, G. (eds) Operator Theory, Analysis and Mathematical Physics. Operator Theory: Advances and Applications, vol 174. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8135-6_11
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DOI: https://doi.org/10.1007/978-3-7643-8135-6_11
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