Solution to a problem of Nirenberg concerning expanding maps
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- by Dean Ives and David Preiss
- Proc. Amer. Math. Soc. 149 (2021), 301-310
- DOI: https://doi.org/10.1090/proc/15214
- Published electronically: October 20, 2020
- PDF | Request permission
Abstract:
By constructing a map of a separable Hilbert space into itself that is continuous, expanding, nonsurjective, and equal to the identity on the unit ball we answer a problem stated by Louis Nirenberg.References
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Bibliographic Information
- Dean Ives
- Affiliation: Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
- MR Author ID: 661237
- Email: dean@math.ucl.ac.uk
- David Preiss
- Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
- MR Author ID: 141890
- Email: d.preiss@warwick.ac.uk
- Received by editor(s): March 1, 2020
- Received by editor(s) in revised form: May 28, 2020, and May 29, 2020
- Published electronically: October 20, 2020
- Communicated by: Stephen J. Dilworth
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 301-310
- MSC (2010): Primary 47H09
- DOI: https://doi.org/10.1090/proc/15214
- MathSciNet review: 4172606