Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint

Shuo Zhang, Huaqing Sun and Chen Yang

Mathematische Nachrichten, 2023, vol. 296, issue 9, 4169-4191

Abstract: This paper is concerned with Friedrichs extensions for a class of discrete Hamiltonian systems with one singular endpoint. First, Friedrichs extensions of symmetric Hamiltonian systems are characterized by imposing some constraints on each element of domains D(H)$D({H})$ of the maximal relations H. Furthermore, it is proved that the Friedrichs extension of each of a class of non‐symmetric systems is also a restriction of the maximal relation H by using a closed sesquilinear form. Then, the corresponding Friedrichs extensions are characterized. In addition, J$\mathcal {J}$‐self‐adjoint Friedrichs extensions are studied, and two results are given for elements of D(H)$D(H)$, which make the expression of the Friedrichs extension simpler. All results are finally applied to Sturm–Liouville equations with matrix‐valued coefficients.

Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202100657

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:296:y:2023:i:9:p:4169-4191

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().