Friedrichs extension of operators defined by symmetric banded matrices (Q1014461)
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: Friedrichs extension of operators defined by symmetric banded matrices |
scientific article; zbMATH DE number 5549254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Friedrichs extension of operators defined by symmetric banded matrices |
scientific article; zbMATH DE number 5549254 |
Statements
Friedrichs extension of operators defined by symmetric banded matrices (English)
0 references
29 April 2009
0 references
The authors study the operator \({\mathcal A}: l^2\to l^2\) defined by a \((2n+1)\)-diagonal infinite symmetric matrix. Using the recessive system of solutions of a certain associated \(2n\)-order Sturm-Liouville difference equation, they characterize the domain of the Friedrichs extension of \({\mathcal A}\).
0 references
Friedrichs extension
0 references
Sturm-Liouville difference equation
0 references
linear Hamiltonian difference system
0 references
recessive system of solutions
0 references
operators in sequence spaces
0 references
infinite symmetric matrix
0 references
0 references
