On a comparison between absolute and relative self-adjoint extension schemes
Functional Analysis
2023-05-02 v3
Abstract
The problem of connecting the operator parameters that label the same self-adjoint extension of a given symmetric operator, respectively, within the 'absolute' von Neumann extension scheme and the 'relative' boundary-triplet-induced extension scheme (i.e., a la Kre\u{i}n-Vi\v{s}ik-Birman) is discussed, and quantitative connections between the two parameters are established in the limit of deficiency spaces at complex spectral points converging to the deficiency space at a real spectral point.
Cite
@article{arxiv.2212.07137,
title = {On a comparison between absolute and relative self-adjoint extension schemes},
author = {Noè Angelo Caruso and Alessandro Michelangeli and Andrea Ottolini},
journal= {arXiv preprint arXiv:2212.07137},
year = {2023}
}
Comments
Accepted to Quaestiones Mathematicae