The paper is concerned with the spectrum of an operator , where is an orthomorphism and is a compact operator. The proofs are in a certain sense constructive. The results are applied to Barbashin equations , where with a multiplication operator and an integral operator . In some particular cases even necessary and sufficient conditions for stability are given.
Cite this article
E.A. Biberdorf, Martin Väth, On the Spectrum of Orthomorphisms and Barbashin Operators. Z. Anal. Anwend. 18 (1999), no. 4, pp. 859–873DOI 10.4171/ZAA/919