Śliwa, Wiesław2011-01-122011-01-122008Canad. Math. Bull., 51(2008), 604-617.http://hdl.handle.net/10593/798It 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.enInvariant subspacesNon-archimedean Banach spaces