The Friedrichs extension of a class of discrete symplectic systems
Petr Zemánek
Masaryk University, Brno, Czech Republic

Abstract
The Friedrichs extension of minimal linear relation being bounded below and associated with the discrete symplectic system with a special linear dependence on the spectral parameter is characterized by using recessive solutions. This generalizes a similar result obtained by Došlý and Hasil for linear operators defined by infinite banded matrices corresponding to even-order Sturm–Liouville difference equations and, in a certain sense, also results of Marletta and Zettl or Šimon Hilscher and Zemánek for singular differential operators.
Cite this article
Petr Zemánek, The Friedrichs extension of a class of discrete symplectic systems. J. Spectr. Theory 15 (2025), no. 1, pp. 223–244
DOI 10.4171/JST/541