A Structured Inverse Spectrum Problem for Infinite Graphs and Unbounded Operators
Spectral Theory
2017-08-08 v1 Combinatorics
Abstract
Given an infinite graph on countably many vertices, and a closed, infinite set of real numbers, we prove the existence of an unbounded self-adjoint operator whose graph is and whose spectrum is .
Cite
@article{arxiv.1708.01708,
title = {A Structured Inverse Spectrum Problem for Infinite Graphs and Unbounded Operators},
author = {Ehssan Khanmohammadi},
journal= {arXiv preprint arXiv:1708.01708},
year = {2017}
}