Compact real linear operators
Spectral Theory
2013-03-28 v2
Abstract
Real linear operators emerge in a range of mathematical physics applications. In this paper spectral questions of compact real linear operators are addressed. A Lomonosov-type invariant subspace theorem for antilinear compact operators is proved. Properties of the characteristic polynomial of a finite rank real linear operator are investigated. A related numerical function, defined as a normalization of the characteristic polynomial, is studied. An extension to trace-class operators is discussed.
Cite
@article{arxiv.1212.3292,
title = {Compact real linear operators},
author = {Santtu Ruotsalainen},
journal= {arXiv preprint arXiv:1212.3292},
year = {2013}
}
Comments
15 pages; corrected typos