The Bottom of the Spectrum of Time-Changed Processes and the Maximum Principle of Schrödinger Operators

Masayoshi Takeda ()
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Masayoshi Takeda: Tohoku University

Journal of Theoretical Probability, 2018, vol. 31, issue 2, 741-756

Abstract: Abstract We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient condition for the Liouville property of Schrödinger operators.

Keywords: Dirichlet form; Schrödinger form; Symmetric Hunt process; Maximum principle; Liouville property; 31C25; 31C05; 60J25 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10959-016-0734-0

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