On the spectrum of Frobenius-Perron operators (Q1589718)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the spectrum of Frobenius-Perron operators |
scientific article; zbMATH DE number 1542468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectrum of Frobenius-Perron operators |
scientific article; zbMATH DE number 1542468 |
Statements
On the spectrum of Frobenius-Perron operators (English)
0 references
19 August 2002
0 references
The spectrum of the Frobenius-Perron operator \(P: L^1 \to L^1\) associated to nonsingular transformations on \(\sigma\)-finite measure spaces is studied. It was conjectured that the spectrum \(\sigma(P)\) of \(P\) is either the unit disc or a cyclic subset of the union of the unit circle and \(0\). The author proves this conjecture in some cases which are more general than those in previous works.
0 references
Frobenius-Perron operators
0 references
spectrum
0 references
