The Friedrichs extension of a class of discrete symplectic systems
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Spectral Theory |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.4171/jst/541 |
| Doi | http://dx.doi.org/10.4171/JST/541 |
| Keywords | discrete symplectic system; Friedrichs extension; minimal linear relation; recessive solution |
| Description | 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. |
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