The Friedrichs extension of a class of discrete symplectic systems

  • Petr Zemánek

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