1. CMB 2008 (vol 51 pp. 604)
|The Invariant Subspace Problem for Non-Archimedean Banach Spaces |
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.
Keywords:invariant subspaces, non-archimedean Banach spaces
Categories:47S10, 46S10, 47A15