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The Invariant Subspace Problem for Non-Archimedean Banach Spaces

Published online by Cambridge University Press:  20 November 2018

Wiesław Śliwa
Wiesław Śliwa*
Affiliation:
Faculty of Mathematics and Computer Science, A. Mickiewicz University, 61-614 Poznań, Poland. e-mail: sliwa@amu.edu.pl
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Abstract

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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

47S1046S1047A15invariant subspacesnon-archimedean Banach spaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 4 , 01 December 2008 , pp. 604 - 617
Copyright
Copyright © Canadian Mathematical Society 2008

References

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