J‐Self‐Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems

Guojing Ren and Huaqing Sun

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/904976

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:904976

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