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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F09%3A00341043%21RIV10-AV0-67985840
rdf:type
skos:Concept n16:Vysledek
dcterms:description
Let T be a bounded linear Banach space operator such that P n=1 1 kTnk <. Then T is orbit-reflexive. In particular, every Banach space operator with spectral radius different from 1 is orbit-reflexive. Better estimates are obtained for operators in Hilbert spaces. We also exhibit a simple example of a non-orbit-reflexive Hilbert space operator and an example of a reflexive but non-orbit-reflexive operator (acting on ℓ1). Let T be a bounded linear Banach space operator such that P n=1 1 kTnk <. Then T is orbit-reflexive. In particular, every Banach space operator with spectral radius different from 1 is orbit-reflexive. Better estimates are obtained for operators in Hilbert spaces. We also exhibit a simple example of a non-orbit-reflexive Hilbert space operator and an example of a reflexive but non-orbit-reflexive operator (acting on ℓ1).
dcterms:title
On orbit-reflexive operators On orbit-reflexive operators
skos:prefLabel
On orbit-reflexive operators On orbit-reflexive operators
skos:notation
RIV/67985840:_____/09:00341043!RIV10-AV0-67985840
n4:aktivita
n6:Z
n4:aktivity
Z(AV0Z10190503)
n4:cisloPeriodika
2
n4:dodaniDat
n9:2010
n4:domaciTvurceVysledku
n7:8840199 n7:8127379
n4:druhVysledku
n13:J
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n15:predkladatel
n4:idSjednocenehoVysledku
331427
n4:idVysledku
RIV/67985840:_____/09:00341043
n4:jazykVysledku
n14:eng
n4:klicovaSlova
reflexive operators; orbit-reflexivity
n4:klicoveSlovo
n5:reflexive%20operators n5:orbit-reflexivity
n4:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n4:kontrolniKodProRIV
[AB0159A04265]
n4:nazevZdroje
Journal of the London Mathematical Society
n4:obor
n12:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:rokUplatneniVysledku
n9:2009
n4:svazekPeriodika
79
n4:tvurceVysledku
Müller, Vladimír Vršovský, Jan
n4:wos
000264655700013
n4:zamer
n10:AV0Z10190503
s:issn
0024-6107
s:numberOfPages
14