Fixed points of the ${p}$-adic ${q}$-bracket
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- by Eric Brussel PDF
- Proc. Amer. Math. Soc. 140 (2012), 1501-1511 Request permission
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.References
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Additional Information
- Eric Brussel
- Affiliation: Department of Mathematics, Emory University, Atlanta, Georgia 30322
- Received by editor(s): January 11, 2011
- Published electronically: August 19, 2011
- Communicated by: Matthew A. Papanikolas
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1501-1511
- MSC (2010): Primary 11B65, 11S80; Secondary 26E30, 12J25
- DOI: https://doi.org/10.1090/S0002-9939-2011-11012-8
- MathSciNet review: 2869135