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This paper is concerned with the characterizations of the Friedrichsextension for a class of singular discrete linear Hamiltonian systems. Theexistence of recessive solutions and the existence of the Friedrichs extensionare proved under some conditions. The self-adjoint boundary conditions areobtained by applying the recessive solutions and then the characterization ofthe Friedrichs extension is obtained in terms of boundary conditions via linearindependently recessive solutions.

Friedrichs extensions for a class of singular discrete linear Hamiltonian systems