05-371 Luis O. Silva, Julio H. Toloza

Jacobi Matrices with Rapidly Growing Weights Having Only Discrete Spectrum (57K, LaTeX 2e) Oct 26, 05

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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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