Self-adjoint extensions with Friedrichs lower bound
Functional Analysis
2020-09-15 v1 Mathematical Physics
math.MP
Abstract
We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. Applications of this abstract result to a few instructive examples are then discussed.
Cite
@article{arxiv.2003.09631,
title = {Self-adjoint extensions with Friedrichs lower bound},
author = {Matteo Gallone and Alessandro Michelangeli},
journal= {arXiv preprint arXiv:2003.09631},
year = {2020}
}