The Friedrichs extension of a class of discrete symplectic systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929642737238016 |
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| author | Zemánek, Petr |
| author_facet | Zemánek, Petr |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Friedrichs extension of a class of discrete symplectic systems Zemánek, Petr Spectral Theory 47A06, 47A20, 47B39, 39A06, 39A12 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. |
| title | The Friedrichs extension of a class of discrete symplectic systems |
| topic | Spectral Theory 47A06, 47A20, 47B39, 39A06, 39A12 |
| url | https://arxiv.org/abs/2412.16096 |