Stability of the Intertwining Condition under Spectral Convergence
Abstract
We prove that if a sequence of finite-dimensional Hermitian operators converges in the strong resolvent sense, and each admits a strictly positive intertwiner with vanishing commutator, then the limit operator also possesses a positive intertwiner that commutes with it. This lemma is a key building block in the Derscariu Convergence Program for the Riemann Hypothesis.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Holomorphic and Operator Theory
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 May 2026
- Document type
- Preprint