THE BEHAVIOR OF THE ORBITS OF POWER BOUNDED OPERATORS


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Mustafayev H.

OPERATORS AND MATRICES, cilt.8, ss.975-997, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.7153/oam-08-54
  • Dergi Adı: OPERATORS AND MATRICES
  • Sayfa Sayıları: ss.975-997

Özet

Let T be a power bounded operator on a Banach space X and let sigma(T) (x) be the local spectrum of T at x is an element of X. In this paper, we study the asymptotic behavior of the orbits {T(n)x : n >= 0} in terms of the local spectrum of T at x.