The Invariant Subspace Problem for Non-Archimedean Banach Spaces

  title={The Invariant Subspace Problem for Non-Archimedean Banach Spaces},
  author={Wieslaw Sliwa},
  journal={Canadian Mathematical Bulletin},
  pages={604 - 617}
  • W. Sliwa
  • Published 2008
  • Mathematics
  • Canadian Mathematical Bulletin
Abstract It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits a linear continuous operator without a non-trivial closed invariant subspace. This solves a problem stated by A. C. M. van Rooij and W. H. Schikhof in 1992. 
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