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
Issue Date: 2022-03-03
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Appears in Collections:Lehrstuhl IX Analysis, Mathematische Physik & Dynamische Systeme

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