Sturmian and spectral theory for discrete symplectic systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00029213" target="_blank" >RIV/00216224:14310/09:00029213 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Sturmian and spectral theory for discrete symplectic systems

Original language 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 showthat finite eigenvectors of such eigenvalue problems form a complete orthogonal basis in the space of admissible sequences.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F07%2F0145" target="_blank" >GA201/07/0145: Difference equations and dynamic equations on time scales II</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Trans. Amer. Math. Soc.

ISSN

0002-9947

e-ISSN

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Volume of the periodical

361

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

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UT code for WoS article

000264881500012

EID of the result in the Scopus database

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