Relative residual bounds for eigenvalues in gaps of the essential spectrum

Autor:	Seelmann, Albrecht
Rok vydání:	2023
Předmět:	Mathematics - Spectral Theory Mathematics - Functional Analysis 15A18 (Primary) 47A20 47A55 47B15 49Rxx (Secondary)
Zdroj:	Oper. Matrices 18 (2024), 191--203
Druh dokumentu:	Working Paper
DOI:	10.7153/oam-2024-18-13
Popis:	The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a closed subspace and some of the eigenvalues of the original operator in a gap of the essential spectrum is considered. It is shown that this distance depends on the maximal angles between pairs of associated subspaces. This generalises results by Drma\v{c} in [Linear Algebra Appl. 244 (1996), 155--163] from matrices to not necessarily (semi)bounded operators. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.07032 Zobrazit plný text záznamu View this record from Arxiv