A note on J-sets of linear operators

Original Paper

DOI: 10.1007/s13398-011-0042-6

Cite this article as:
Azimi, M.R. & Müller, V. RACSAM (2011) 105: 449. doi:10.1007/s13398-011-0042-6

Abstract

We construct a Banach space operator \({T \in B(X)}\) such that the set JT (0) has a nonempty interior but JT (0) ≠ X. This gives a negative answer to a problem raised by Costakis and Manoussos (J. Oper. Theory [in press], 2011).

Keywords

Hypercyclic vectors Orbits J-sets 

Mathematics Subject Classification (2000)

47A16 

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Faculty of Mathematical SciencesUniversity of TabrizTabrizIran
  2. 2.Mathematical InstituteCzech Academy of SciencesPraha 1Czech Republic

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