Spectral properties of block Jacobi matrices
Spectral Theory
2019-02-08 v4 Classical Analysis and ODEs
Functional Analysis
Abstract
We study the spectral properties of bounded and unbounded Jacobi matrices whose entries are bounded operators on a complex Hilbert space. In particular, we formulate conditions assuring that the spectrum of the studied operators is continuous. Uniform asymptotics of generalised eigenvectors and conditions implying complete indeterminacy are also provided.
Keywords
Cite
@article{arxiv.1705.06138,
title = {Spectral properties of block Jacobi matrices},
author = {Grzegorz Świderski},
journal= {arXiv preprint arXiv:1705.06138},
year = {2019}
}
Comments
27 pages