J-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems. (28th May 2013)

• Record Type: Journal Article
• Authors: Ren, Guojing; Sun, Huaqing
• Other Names: Bertsch Michiel Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-05-28
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/904976
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.