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Self-adjointness and limit pointness for adjacency operators on a tree

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Abstract

Equivalence of self-adjointness and limit pointness for symmetric adjacency operators on a tree is proved. It is shown that the corresponding Green functions are completely characterized by a certain infinite system of algebraic equations.

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  1. Department of Mathematics Faculty of Science, Nagoya University, Chikusa-ku, 464, Nagoya, Japan

    K. Aomoto

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  1. K. Aomoto
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Aomoto, K. Self-adjointness and limit pointness for adjacency operators on a tree. J. Anal. Math. 53, 219–232 (1989). https://doi.org/10.1007/BF02793415

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  • DOI: https://doi.org/10.1007/BF02793415

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