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arXiv · 2601.10476

On Generalized Strong and Norm Resolvent Convergence

Gerald Teschl·Yifei Wang·Bing Xie·Zhe Zhou
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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.

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Gerald Teschl, Yifei Wang, Bing Xie, Zhe Zhou. 2026-01-15. On Generalized Strong and Norm Resolvent Convergence. https://arxiv.org/abs/2601.10476

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