Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices

Autor:	Gebert, Martin
Rok vydání:	2020
Předmět:	Mathematics - Spectral Theory Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We consider boundary conditions of self-adjoint banded Toeplitz matrices. We ask if boundary conditions exist for banded self-adjoint Toeplitz matrices which satisfy operator inequalities of Dirichlet-Neumann bracketing type. For a special class of banded Toeplitz matrices including integer powers of the discrete Laplacian we find such boundary conditions. Moreover, for this class we give a lower bound on the spectral gap above the lowest eigenvalue. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.14684 Zobrazit plný text záznamu View this record from Arxiv