DISCRETE LEFT-DEFINITE HAMILTONIAN SYSTEMS

Ekin Uğurlu

doi:10.11948/20210387

2023 Volume 13 Issue 3

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Ekin Uğurlu. DISCRETE LEFT-DEFINITE HAMILTONIAN SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1178-1189. doi: 10.11948/20210387

Citation:

Ekin Uğurlu. DISCRETE LEFT-DEFINITE HAMILTONIAN SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1178-1189. doi: 10.11948/20210387

DISCRETE LEFT-DEFINITE HAMILTONIAN SYSTEMS

Ekin Uğurlu^1, ,

1.
Department of Mathematics, Faculty of Arts and Sciences, Çankaya University, 06810 Etimesgut, Ankara, Turkey

Corresponding author: Ekin Uğurlu, Email: ekinugurlu@cankaya.edu.tr

Abstract

Abstract

In this paper we consider an even-dimensional discrete Hamiltonian system on the set of nonnegative integers in the left-definite form. Using the inertia indices of the hermitian form related with the solutions of the equation we construct some maximal subspaces of the solution space. After constructing some ellipsoids preserving nesting properties we introduce a lower bound for the number of Dirichlet-summable solutions of the equation. Moreover we introduce a limit-point criterion.
- Discrete Hamiltonian system /
- Weyl theory /
- left-definite equation /
- Sylvester's inertia indices /
- subspace theory
MSC: 34B20, 37J06, 70S05

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References

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