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2013 J -Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems
Guojing Ren, Huaqing Sun
Abstr. Appl. Anal. 2013: 1-19 (2013). DOI: 10.1155/2013/904976


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.


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Guojing Ren. Huaqing Sun. " J -Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems." Abstr. Appl. Anal. 2013 1 - 19, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095478
MathSciNet: MR3064393
Digital Object Identifier: 10.1155/2013/904976

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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