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A STRUCTURED INVERSE SPECTRUM PROBLEM FOR INFINITE GRAPHS AND UNBOUNDED OPERATORS

Published online by Cambridge University Press:  15 August 2018

EHSSAN KHANMOHAMMADI*
Affiliation:
Lancaster, PA 17603, USA email [email protected]
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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 $\unicode[STIX]{x1D6EC}$.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

References

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