-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems

Guojing Ren and Huaqing Sun

Abstract and Applied Analysis, 2013, vol. 2013, 1-19

Abstract:

This paper is concerned with formally -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 -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 -self-adjoint subspace extensions are given in the limit point and limit circle cases.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:904976

DOI: 10.1155/2013/904976

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