Solution to a problem of Nirenberg concerning expanding maps
Authors:
Dean Ives and David Preiss
Journal:
Proc. Amer. Math. Soc. 149 (2021), 301-310
MSC (2010):
Primary 47H09
DOI:
https://doi.org/10.1090/proc/15214
Published electronically:
October 20, 2020
MathSciNet review:
4172606
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Abstract | References | Similar Articles | Additional Information
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.
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Additional 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
Article copyright:
© Copyright 2020
American Mathematical Society