The Invariant Subspace Problem for Non-Archimedean Banach Spaces

@article{liwa2008TheIS,
  title={The Invariant Subspace Problem for Non-Archimedean Banach Spaces},
  author={Wiesław Śliwa},
  journal={Canadian Mathematical Bulletin},
  year={2008},
  volume={51},
  pages={604 - 617}
}
  • W. Śliwa
  • Published 1 December 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. 
3 Citations
Invariant subspace problem and compact operators on non-Archimedean Banach spaces
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact operators on an infinite-dimensional Banach space E over a nontrivial complete nonArchimedean valued

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