On Generalized Strong and Norm Resolvent Convergence

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Gerald Teschl, Yifei Wang, Bing Xie, Zhe Zhou
DOI: 10.48550/arxiv.2601.10476
Cited by: 0

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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Holomorphic and Operator Theory Advanced Banach Space Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 January 2026
Document type
Preprint