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Creators/Authors contains: "Wojciechowski, Radosław K"

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  1. ; ; ; (, Mathematical Physics, Analysis and Geometry)
    We give two characterizations for the essential self-adjointness of the weighted Laplacian on birth–death chains. The first involves the edge weights and vertex measure and is classically known; however, we give another proof using stability results, limit point-limit circle theory and the connection between essential self-adjointness and harmonic functions. The second characterization involves a new notion of capacity. Furthermore, we also analyze the essential self-adjointness of Schrödinger operators, use the characterizations for birth–death chains and stability results to characterize essential self-adjointness for star-like graphs, and give some connections to the $$\ell^2$$-Liouville property. 
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    Free, publicly-accessible full text available June 1, 2026