On the extremal extensions of a non-negative Jacobi operator (Q2877322)
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 extremal extensions of a non-negative Jacobi operator |
scientific article; zbMATH DE number 6333560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the extremal extensions of a non-negative Jacobi operator |
scientific article; zbMATH DE number 6333560 |
Statements
21 August 2014
0 references
Jacobi matrix
0 references
Friedrichs extension
0 references
Krein extension
0 references
Weyl function
0 references
math.SP
0 references
0.93331695
0 references
0.9269594
0 references
0.9154922
0 references
0.90514046
0 references
0.90072984
0 references
0.8968384
0 references
0.89408493
0 references
On the extremal extensions of a non-negative Jacobi operator (English)
0 references
The authors consider the minimal symmetric operator corresponding to a non-negative Jacobi infinite matrix with \(p\times p\) matrix entries. A description of non-negative selfadjoint extensions is given. In particular, explicit descriptions of the Friedrichs and Krein extensions are obtained. The method is based on the description of the extremal extensions in terms of the Weyl function; see \textit{V. A. Derkach} and \textit{M. M. Malamud} [J. Math. Sci., New York 73, No. 2, 141--242 (1995; Zbl 0848.47004)].
0 references
