Geodesic
The Invariant Subspace Problem for Non-Archimedean Banach Spaces
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 604-617

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2008-060-9
Mots-clés : 47S10, 46S10, 47A15, invariant subspaces, non-archimedean Banach spaces 
Śliwa, Wiesław. The Invariant Subspace Problem for Non-Archimedean Banach Spaces. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 604-617. doi: 10.4153/CMB-2008-060-9
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