Essential Spectra of Linear Relations
Spectral Theory
2013-05-01 v3 Functional Analysis
Abstract
Five essential spectra of linear relations are defined in terms of semi-Fredholm properties and the index. Basic properties of these sets are established and the perturbation theory for semi-Fredholm relations is then applied to verify a generalisation of Weyl's theorem for single-valued operators. We conclude with a spectral mapping theorem.
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Cite
@article{arxiv.1304.3801,
title = {Essential Spectra of Linear Relations},
author = {Diane Wilcox},
journal= {arXiv preprint arXiv:1304.3801},
year = {2013}
}
Comments
11 pages