Critical and subcritical Jacobi operators defined as Friedrichs extensions (Q685804)
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: Critical and subcritical Jacobi operators defined as Friedrichs extensions |
scientific article; zbMATH DE number 425448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical and subcritical Jacobi operators defined as Friedrichs extensions |
scientific article; zbMATH DE number 425448 |
Statements
Critical and subcritical Jacobi operators defined as Friedrichs extensions (English)
0 references
18 October 1993
0 references
Motivated by a treatment of the Toda lattice and Kac- von Moerbeke equations the authors study critical and subcritical 2nd-order finite difference (Jacobi) operators \(T\) on \(\mathbb{Z}\). In the course of their analysis they derive an explicit characterization of the Friedrichs extension \(T_ F\) of \(T\) in terms of principal solutions \(u_ \pm\) of \(Tu= 0\) near \(\pm\infty\).
0 references
Toda lattice
0 references
Kac-von Moerbeke equation
0 references
critical and subcritical 2nd- order finite difference operators
0 references
Friedrichs extension
0 references
