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  • We prove that if T is an m-isometry on a Hilbert space and Q an n-nilpotent operator commuting with T, then T+Q is a (2n+m-2)-isometry. Moreover, we show that a similar result for (m, q)-isometries on Banach spaces is not true.
  • We prove that if T is an m-isometry on a Hilbert space and Q an n-nilpotent operator commuting with T, then T+Q is a (2n+m-2)-isometry. Moreover, we show that a similar result for (m, q)-isometries on Banach spaces is not true. (en)
Title
  • Perturbation of m-isometries by nilpotent operators
  • Perturbation of m-isometries by nilpotent operators (en)
skos:prefLabel
  • Perturbation of m-isometries by nilpotent operators
  • Perturbation of m-isometries by nilpotent operators (en)
skos:notation
  • RIV/67985840:_____/14:00436815!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita
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  • I, P(GA14-07880S)
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  • September
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  • 36305
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  • RIV/67985840:_____/14:00436815
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  • pertubation; m-isometries (en)
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  • US - Spojené státy americké
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  • [16BCE1E1162A]
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  • Abstract and Applied Analysis
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http://linked.open...vavai/riv/projekt
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  • 2014
http://linked.open...iv/tvurceVysledku
  • Müller, Vladimír
  • Bermúdez, T.
  • Martinón, A.
  • Noda, J. A.
http://linked.open...ain/vavai/riv/wos
  • 000343548300001
issn
  • 1085-3375
number of pages
http://bibframe.org/vocab/doi
  • 10.1155/2014/745479
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