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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F12%3A00192335%21RIV13-GA0-21110___
rdf:type
skos:Concept n4:Vysledek
dcterms: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 ℓ1 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. 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 ℓ1 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.
dcterms:title
The Topological Entropy of Banach Spaces The Topological Entropy of Banach Spaces
skos:prefLabel
The Topological Entropy of Banach Spaces The Topological Entropy of Banach Spaces
skos:notation
RIV/68407700:21110/12:00192335!RIV13-GA0-21110___
n4:predkladatel
n5:orjk%3A21110
n6:aktivita
n14:P n14:Z
n6:aktivity
P(GA201/09/0854), Z(MSM6840770010)
n6:cisloPeriodika
4
n6:dodaniDat
n17:2013
n6:domaciTvurceVysledku
n15:2221306
n6:druhVysledku
n12:J
n6:duvernostUdaju
n7:S
n6:entitaPredkladatele
n19:predkladatel
n6:idSjednocenehoVysledku
174623
n6:idVysledku
RIV/68407700:21110/12:00192335
n6:jazykVysledku
n16:eng
n6:klicovaSlova
Banach space; universal Banach space; topological entropy; horseshoe
n6:klicoveSlovo
n13:Banach%20space n13:universal%20Banach%20space n13:topological%20entropy n13:horseshoe
n6:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n6:kontrolniKodProRIV
[F33A1B37D996]
n6:nazevZdroje
Journal of Difference Equations and Applications
n6:obor
n10:BA
n6:pocetDomacichTvurcuVysledku
1
n6:pocetTvurcuVysledku
2
n6:projekt
n21:GA201%2F09%2F0854
n6:rokUplatneniVysledku
n17:2012
n6:svazekPeriodika
18
n6:tvurceVysledku
Bobok, Jozef Bruin, H.
n6:wos
000302140400004
n6:zamer
n11:MSM6840770010
s:issn
1023-6198
s:numberOfPages
10
n18:doi
10.1080/10236198.2011.587005
n20:organizacniJednotka
21110