Spectral enclosures for a class of block operator matrices
Spectral Theory
2020-06-02 v2
Abstract
We prove new spectral enclosures for the non-real spectrum of a class of block operator matrices with self-adjoint operators and on the diagonal and operators and as off-diagonal entries. One of our main results resembles Gershgorin's circle theorem. The enclosures are applied to -frame operators.
Cite
@article{arxiv.1903.01519,
title = {Spectral enclosures for a class of block operator matrices},
author = {Juan Giribet and Matthias Langer and Francisco Martínez Pería and Friedrich Philipp and Carsten Trunk},
journal= {arXiv preprint arXiv:1903.01519},
year = {2020}
}