On Generalized Strong and Norm Resolvent Convergence
Spectral Theory
2026-01-16 v1 Mathematical Physics
math.MP
Abstract
We present a streamlined approach for generalized strong and norm convergence of self-adjoint operators in different Hilbert spaces. In particular, we establish convergence of associated (semi-)groups, (essential) spectra and spectral projections. In addition, we give some applications to Sturm-Liouville operators.
Cite
@article{arxiv.2601.10476,
title = {On Generalized Strong and Norm Resolvent Convergence},
author = {Gerald Teschl and Yifei Wang and Bing Xie and Zhe Zhou},
journal= {arXiv preprint arXiv:2601.10476},
year = {2026}
}
Comments
12 pages