Generalised norm resolvent convergence: comparison of different concepts
Functional Analysis
2022-02-08 v1 Numerical Analysis
Numerical Analysis
Spectral Theory
Abstract
In this paper, we show that the two concepts of generalised norm resolvent convergence introduced by Weidmann and the first author of this paper are equivalent. We also focus on the convergence speed and provide conditions under which the convergence speed is the same for both concepts. We illustrate the abstract results by a large number of examples.
Keywords
Cite
@article{arxiv.2202.03234,
title = {Generalised norm resolvent convergence: comparison of different concepts},
author = {Olaf Post and Sebastian Zimmer},
journal= {arXiv preprint arXiv:2202.03234},
year = {2022}
}
Comments
36 pages, 6 figures