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A STRUCTURED INVERSE SPECTRUM PROBLEM FOR INFINITE GRAPHS AND UNBOUNDED OPERATORS
Published online by Cambridge University Press: 15 August 2018
Abstract
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Let $G$ be an infinite graph on countably many vertices and let $\unicode[STIX]{x1D6EC}$ be a closed, infinite set of real numbers. We establish the existence of an unbounded self-adjoint operator whose graph is $G$ and whose spectrum is $\unicode[STIX]{x1D6EC}$.
MSC classification
Primary:
05C63: Infinite graphs
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 98 , Issue 3 , December 2018 , pp. 363 - 371
- Copyright
- © 2018 Australian Mathematical Publishing Association Inc.
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