Extensions of symmetric second-order difference operators with matrix coefficients

Allahverdiev B.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, vol.19, no.5, pp.839-849, 2013 (SCI-Expanded) identifier identifier


A space of boundary values is constructed for a minimal symmetric second-order difference operator with matrix coefficients on the whole-line. A description of all maximal dissipative, maximal accretive, self-adjoint and other extensions of such operators is given in terms of boundary conditions at +/-.