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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F04%3A00021407%21RIV06-AV0-67985840
rdf:type
n13:Vysledek skos:Concept
dcterms:description
Let T ? B(X)be a hypercyclic operator and .lambda. a complex number of modulus 1. Then .lambdaT is hypercyclic and has the same set of hypercyclic vectors as T. A version of this results gives for a wide class of supercyclic operators that x .. X is supercyclic for T if and only if the set {tTnx : t > 0,n = 0,1, ...} is dense in X. This gives answers to several questions studied in the literature. Let T ? B(X)be a hypercyclic operator and .lambda. a complex number of modulus 1. Then .lambdaT is hypercyclic and has the same set of hypercyclic vectors as T. A version of this results gives for a wide class of supercyclic operators that x .. X is supercyclic for T if and only if the set {tTnx : t > 0,n = 0,1, ...} is dense in X. This gives answers to several questions studied in the literature. Nechtˇ T je hypercyklický operátor a lambda komplexní číslo,/lambda/ = 1. Pak lambda T je též hypercyklický. Podobný výsledek platí i pro supercyklické operátory.
dcterms:title
Rotace hypercyklických a supercyklických operátorů Rotations of Hypercyclic and Supercyclic Operators Rotations of Hypercyclic and Supercyclic Operators
skos:prefLabel
Rotations of Hypercyclic and Supercyclic Operators Rotations of Hypercyclic and Supercyclic Operators Rotace hypercyklických a supercyklických operátorů
skos:notation
RIV/67985840:_____/04:00021407!RIV06-AV0-67985840
n4:strany
385;391
n4:aktivita
n12:P n12:Z
n4:aktivity
P(GA201/03/0041), Z(AV0Z1019905)
n4:cisloPeriodika
3
n4:dodaniDat
n14:2006
n4:domaciTvurceVysledku
n15:8840199
n4:druhVysledku
n11:J
n4:duvernostUdaju
n16:S
n4:entitaPredkladatele
n10:predkladatel
n4:idSjednocenehoVysledku
585098
n4:idVysledku
RIV/67985840:_____/04:00021407
n4:jazykVysledku
n8:eng
n4:klicovaSlova
hypercyclic vectors; supercyclic vectors
n4:klicoveSlovo
n7:hypercyclic%20vectors n7:supercyclic%20vectors
n4:kodStatuVydavatele
CH - Švýcarská konfederace
n4:kontrolniKodProRIV
[7B3CAF3CBBBF]
n4:nazevZdroje
Integral Equations and Operator Theory
n4:obor
n18:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n17:GA201%2F03%2F0041
n4:rokUplatneniVysledku
n14:2004
n4:svazekPeriodika
50
n4:tvurceVysledku
Müller, Vladimír León-Saavedra, F.
n4:zamer
n5:AV0Z1019905
s:issn
0378-620X
s:numberOfPages
7