Characterization of dominated splittings for operator cocycles acting on Banach spaces

  title={Characterization of dominated splittings for operator cocycles acting on Banach spaces},
  author={Alex Blumenthal and I. Morris},
  journal={arXiv: Dynamical Systems},
  • Alex Blumenthal, I. Morris
  • Published 2015
  • Mathematics
  • arXiv: Dynamical Systems
  • Versions of the Oseledets multiplicative ergodic theorem for cocycles acting on infinite-dimensional Banach spaces have been investigated since the pioneering work of Ruelle in 1982 and are a topic of continuing research interest. For a cocycle to induce a continuous splitting in which the growth in one subbundle exponentially dominates the growth in another requires additional assumptions; a necessary and sufficient condition for the existence of such a dominated splitting was recently given… CONTINUE READING
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