Friedrichs extensions for a class of singular discrete linear Hamiltonian systems
Spectral Theory
2023-11-16 v1
Abstract
This paper is concerned with the characterizations of the Friedrichs extension for a class of singular discrete linear Hamiltonian systems. The existence of recessive solutions and the existence of the Friedrichs extension are proved under some conditions. The self-adjoint boundary conditions are obtained by applying the recessive solutions and then the characterization of the Friedrichs extension is obtained in terms of boundary conditions via linear independently recessive solutions.
Keywords
Cite
@article{arxiv.2311.08665,
title = {Friedrichs extensions for a class of singular discrete linear Hamiltonian systems},
author = {Guojing Ren and Guixin Xu},
journal= {arXiv preprint arXiv:2311.08665},
year = {2023}
}