The Birman--Solomyak theorem revisited: a novel elementary proof, generalisation, and applications
Mathematical Physics
2025-11-17 v1 Analysis of PDEs
math.MP
Abstract
We provide a new short proof for the Birman--Solomyak theorem for Hilbert--Schmidt operators and give an application to a Schr\"odinger--Poisson system.
Keywords
Cite
@article{arxiv.2511.11058,
title = {The Birman--Solomyak theorem revisited: a novel elementary proof, generalisation, and applications},
author = {V. Bach and A. F. M. ter Elst and J. Rehberg},
journal= {arXiv preprint arXiv:2511.11058},
year = {2025}
}