Jacobi matrices with rapidly growing weights having only discrete spectrum |
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| Authors: | Luis O Silva Julio H Toloza |
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| Institution: | Departamento de Métodos Matemáticos y Numéricos, IIMAS, Universidad Nacional Autónoma de México, Apdo. Postal 20-726 México, DF 01000, Mexico |
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| Abstract: | We establish sufficient conditions for self-adjointness on a class of unbounded Jacobi operators defined by matrices with main diagonal sequence of very slow growth and rapidly growing off-diagonal entries. With some additional assumptions, we also prove that these operators have only discrete spectrum. |
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| Keywords: | Unbounded Jacobi operators Jacobi matrices Discrete spectrum |
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