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Description
  • We consider symplectic difference systems together with associated discrete quadratic functionals and eigenvalue problems. We establish Sturmian type comparison theorems for the numbers of focal points of conjoined bases of a pair of symplectic systems. Then, using this comparison result, we show that the numbers of focal points of two conjoined bases of one symplectic system differ by at most n. In the last part of the paper we prove the Rayleigh principle for symplectic eigenvalue problems and we show that finite eigenvectors of such eigenvalue problems form a complete orthogonal basis in the space of admissible sequences.
  • We consider symplectic difference systems together with associated discrete quadratic functionals and eigenvalue problems. We establish Sturmian type comparison theorems for the numbers of focal points of conjoined bases of a pair of symplectic systems. Then, using this comparison result, we show that the numbers of focal points of two conjoined bases of one symplectic system differ by at most n. In the last part of the paper we prove the Rayleigh principle for symplectic eigenvalue problems and we show that finite eigenvectors of such eigenvalue problems form a complete orthogonal basis in the space of admissible sequences. (en)
Title
  • Sturmian and spectral theory for discrete symplectic systems
  • Sturmian and spectral theory for discrete symplectic systems (en)
skos:prefLabel
  • Sturmian and spectral theory for discrete symplectic systems
  • Sturmian and spectral theory for discrete symplectic systems (en)
skos:notation
  • RIV/00216224:14310/09:00029213!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0145), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 344578
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/09:00029213
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Discrete symplectic system; discrete quadratic functional; Rayleigh principle; extended Picone identity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [68230FD55C1C]
http://linked.open...i/riv/nazevZdroje
  • Trans. Amer. Math. Soc.
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 361
http://linked.open...iv/tvurceVysledku
  • Došlý, Ondřej
  • Kratz, Werner
  • Bohner, Martin
http://linked.open...ain/vavai/riv/wos
  • 000264881500012
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-9947
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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