# The Invariant Subspace Problem for Non-Archimedean Banach Spaces

@article{Sliwa2008TheIS, title={The Invariant Subspace Problem for Non-Archimedean Banach Spaces}, author={Wieslaw Sliwa}, journal={Canadian Mathematical Bulletin}, year={2008}, volume={51}, pages={604 - 617} }

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

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