The Kitai criterion and backward shifts

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4 Citations (Scopus)


It is proved that for any separable infinite dimensional Banach space X, there is a bounded linear operator T on X such that T satisfies the Kitai criterion. The proof is based on a quasisimilarity argument and on showing that I + T satisfies the Kitai criterion for certain backward weighted shifts T.
Original languageEnglish
Pages (from-to)1659-1670
Number of pages12
JournalProceedings of the American Mathematical Society
Issue number5
Publication statusPublished - May 2008

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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