The Topological Entropy of Banach Spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00192335" target="_blank" >RIV/68407700:21110/12:00192335 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/10236198.2011.587005" target="_blank" >http://dx.doi.org/10.1080/10236198.2011.587005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2011.587005" target="_blank" >10.1080/10236198.2011.587005</a>

Result language
angličtina
Original language name
The Topological Entropy of Banach Spaces
Original language description
We investigate some properties of (universal) Banach spaces of real functions in the context of topological entropy. Among other things, we show that any subspace of C([0,1]) which is isometrically isomorphic to ?1 contains a function with infinite topological entropy. Also, for any t [0,infinity], we construct a (one-dimensional) Banach space in which any non-zero function has topological entropy equal to t.
Czech name
—
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
—

Project
<a href="/en/project/GA201%2F09%2F0854" target="_blank" >GA201/09/0854: Dynamics of Iterative Systems</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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