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  • 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). (en)
Title
  • On orbit-reflexive operators
  • On orbit-reflexive operators (en)
skos:prefLabel
  • On orbit-reflexive operators
  • On orbit-reflexive operators (en)
skos:notation
  • RIV/67985840:_____/09:00341043!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita
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  • Z(AV0Z10190503)
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  • 2
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  • 331427
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  • RIV/67985840:_____/09:00341043
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  • reflexive operators; orbit-reflexivity (en)
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  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [AB0159A04265]
http://linked.open...i/riv/nazevZdroje
  • Journal of the London Mathematical Society
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  • 79
http://linked.open...iv/tvurceVysledku
  • Müller, Vladimír
  • Vršovský, Jan
http://linked.open...ain/vavai/riv/wos
  • 000264655700013
http://linked.open...n/vavai/riv/zamer
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  • 0024-6107
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