Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Fixed points of the -adic -bracket

Author: Eric Brussel
Journal: Proc. Amer. Math. Soc. 140 (2012), 1501-1511
MSC (2010): Primary 11B65, 11S80; Secondary 26E30, 12J25
Posted: August 19, 2011
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Abstract: The -bracket $[X]_q:\textrm{O}_{\mathbb{C}_p}\to\textrm{O}_{\mathbb{C}_p}$ , which is the -analog of the identity function, is also a norm-preserving isometry, for each $q\in \textrm{B}(1,p^{-1/(p-1)})$ . In this paper we investigate its fixed points.

References

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