Calculus of Variations and Geometric Measure Theory

J. Duran Lamiel

A survey on the resolvent convergence

created by duranlamiel on 27 Sep 2025
modified on 03 Aug 2026

[BibTeX]

Published Paper

Inserted: 27 sep 2025
Last Updated: 3 aug 2026

Year: 2025
Doi: 10.1007/978-3-032-20098-3_5

ArXiv: 2509.17687 PDF

Abstract:

This chapter deals with the notion of the resolvent of a self-adjoint operator. We pay special attention to the convergence of unbounded self-adjoint operators in several resolvent senses, and how they are related to the convergence of their spectra. We also explore the relations that these notions of convergence have with the so-called strong graph limit, $G$-convergence, and $\Gamma$-convergence.