The Invariant Subspace Problem for Non-Archimedean Banach Spaces
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Date
2008
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Canadian Mathematical Society
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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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Keywords
Invariant subspaces, Non-archimedean Banach spaces
Citation
Canad. Math. Bull., 51(2008), 604-617.