Distributional chaos for linear operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00395496" target="_blank" >RIV/67985840:_____/13:00395496 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2013.06.019" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2013.06.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2013.06.019" target="_blank" >10.1016/j.jfa.2013.06.019</a>

Result language
angličtina
Original language name
Distributional chaos for linear operators
Original language description
We characterize distributional chaos for linear operators on Frechet spaces in terms of a computable condition (DCC), and also as the existence of distributionally it-regular vectors. A sufficient condition for the existence of dense uniformly distributionally irregular manifolds is presented, which is very general and can be applied to many classes of operators. Distributional chaos is also analyzed in connection with frequent hypercyclicity, and the particular cases of weighted shifts and compositionoperators are given as an illustration of the previous results.
Czech name
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Czech description
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Type
J<sub>x</sub> - 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%2F09%2F0473" target="_blank" >GA201/09/0473: Methods of function theory and Banach algebras in operator theory IV</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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