On the Maximal Subspaces of Discrete Hamiltonian Systems

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Uğurlu E., BAYRAM E.

Bulletin of the Malaysian Mathematical Sciences Society, cilt.47, sa.3, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s40840-024-01674-8
  • Dergi Adı: Bulletin of the Malaysian Mathematical Sciences Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: 34B20, 37J06, 46C07, Discrete equations, Hamiltonian systems, Subspace theory, Sylvester’s inertia indices, Weyl’s theory
  • Ankara Üniversitesi Adresli: Evet

Özet

In 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.