Perturbation of spectra and spectral subspaces
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Abstract
We consider the problem of variation of spectral subspaces for linear self-adjoint operators under off-diagonal perturbations. We prove a number of new optimal results on the shift of the spectrum and obtain (sharp) estimates on the norm of the difference of two spectral projections.
Create a lesson
Related papers
Essential spectral geometry of the Maxwell system in unbounded domains
Francesco Ferraresso, Marco Marletta
Solving Inverse Dirac-weighted Sturm-Liouville Problems via Cauchy problems
Min Zhao, Jiangang Qi, and Xiao Chen
Uniform High-Frequency Localization on Quantum Graphs
Binh T. Nguyen
Irreducibility of the Bloch variety for periodic Schrödinger operators in arbitrary dimension
Wencai Liu
Weighted heat traces of the Dirichlet Laplacian on Lipschitz domains
Lucas Kersten
An inverse problem on eigenfunction triple products
Carl Schildkraut, Romain Speciel