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This paper is concerned with second-order linear difference equations with complex coefficients which are formally J-symmetric. Both J-self-adjoint subspace extensions and J-self-adjoint operator extensions of the corresponding minimal subspace are completely characterized in terms of boundary conditions. MSC: 39A70, 47A06. © 2013 Sun and Ren; licensee Springer.

J-self-adjoint extensions for second-order linear difference equations with complex coefficients