The adjacency matrix and the discrete Laplacian acting on forms
classification
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math.FA
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adjacencymatrixactingdiscreteformslaplacianbelowbounded
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We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint. We discuss the question of essential self-adjointness and the notion of completeness.
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