Uğurlu, EkinBairamov, Elgiz2024-07-042024-07-042024-05Uğurlu, Ekin; Bairamov, Elgiz (2024). "On the Maximal Subspaces of Discrete Hamiltonian Systems", Bulletin of the Malaysian Mathematical Sciences Society, Vol. 47, No. 3.0126-6705http://hdl.handle.net/20.500.12416/8501In this paper, we consider a discrete Hamiltonian system on nonnegative integers, and using Sylvester’s inertia indices theory, we construct maximal subspaces on which the Hermitian form has a certain sign. After constructing nested ellipsoids, we introduce a lower bound for the number of linearly independent summable-square solutions of the discrete equation. Finally, we provide a limit-point criterion.enginfo:eu-repo/semantics/openAccess34B2037J0646C07Discrete EquationsHamiltonian SystemsSubspace TheorySylvester’s Inertia IndicesWeyl’s Theoryarticle473