The Invariant Subspace Problem for Non-Archimedean Banach Spaces

Canadian mathematical bulletin

关键词: invariant subspaces;    non-archimedean Banach spaces;   

DOI  :  10.4153/CMB-2008-060-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

It is proved that every infinite-dimensionalnon-archimedean Banach space of countable type admits a linearcontinuous operator without a non-trivial closed invariantsubspace. This solves a problem stated by A.~C.~M. van Rooij andW.~H. Schikhof in 1992.

【 授权许可】

Unknown