J-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems
This paper is concerned with formally J-self-adjoint discrete linear Hamiltonian systems on finite or infinite intervals. The minimal and maximal subspaces are characterized, and the defect indices of the minimal subspaces are discussed. All the J-self-adjoint subspace extensions of the minimal subs...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/904976 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper is concerned with formally J-self-adjoint discrete linear Hamiltonian systems on finite or infinite intervals. The minimal and maximal subspaces are characterized, and the defect indices of the minimal subspaces are discussed. All the J-self-adjoint subspace extensions of the minimal subspace are completely characterized in terms of the square summable solutions and boundary conditions. As a consequence, characterizations of all the J-self-adjoint subspace extensions are given in the limit point and limit circle cases. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |