Authors: | Seelmann, Albrecht |
Title: | On a minimax principle in spectral gaps |
Language (ISO): | en |
Abstract: | The minimax principle for eigenvalues in gaps of the essential spectrum in the form presented by Griesemer et al. (Doc Math 4:275–283, 1999) is adapted to cover certain abstract perturbative settings with bounded or unbounded perturbations, in particular ones that are off-diagonal with respect to the spectral gap under consideration. This in part builds upon and extends the considerations in the author’s appendix to Nakić et al. (J Spectr Theory 10:843–885, 2020). Several monotonicity and continuity properties of eigenvalues in gaps of the essential spectrum are deduced, and the Stokes operator is revisited as an example. |
Subject Headings: | Minimax values Eigenvalues in gap of the essential spectrum Block diagonalization Stokes operator |
URI: | http://hdl.handle.net/2003/41351 http://dx.doi.org/10.17877/DE290R-23194 |
Issue Date: | 2022-03-03 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl IX Analysis, Mathematische Physik & Dynamische Systeme |
Files in This Item:
File | Description | Size | Format | |
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s11785-022-01209-8.pdf | DNB | 615.78 kB | Adobe PDF | View/Open |
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