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

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  • Guojing Ren
  • Huaqing Sun

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.

Suggested Citation

  • Guojing Ren & Huaqing Sun, 2013. "-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-19, May.
  • Handle: RePEc:hin:jnlaaa:904976
    DOI: 10.1155/2013/904976
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