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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed points of the $ {p}$-adic $ {q}$-bracket


Author: Eric Brussel
Journal: Proc. Amer. Math. Soc. 140 (2012), 1501-1511
MSC (2010): Primary 11B65, 11S80; Secondary 26E30, 12J25
Published electronically: August 19, 2011
MathSciNet review: 2869135
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Abstract: The $ q$-bracket $ [X]_q:\textrm{O}_{\mathbb{C}_p}\to\textrm{O}_{\mathbb{C}_p}$, which is the $ q$-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.


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Additional Information

Eric Brussel
Affiliation: Department of Mathematics, Emory University, Atlanta, Georgia 30322

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11012-8
PII: S 0002-9939(2011)11012-8
Received by editor(s): January 11, 2011
Published electronically: August 19, 2011
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.