Ives, Dean and Preiss, David (2021) Solution to a problem of Nirenberg concerning expanding maps. Proceedings of the American Mathematical Society, 149 . pp. 301-310. doi:10.1090/proc/15214 ISSN 0002-9939.

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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.

Item Type:	Journal Article
Subjects:	G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Maps, Hilbert space
Journal or Publication Title:	Proceedings of the American Mathematical Society
Publisher:	American Mathematical Society
ISSN:	0002-9939
Official Date:	2021
Dates:	Date Event 2021 Published 20 October 2020 Available 29 May 2020 Accepted
Volume:	149
Page Range:	pp. 301-310
DOI:	10.1090/proc/15214
Status:	Peer Reviewed
Publication Status:	Published
Reuse Statement (publisher, data, author rights):	“First published in Proceedings of the American Mathematical Society in [volume/issue number and year], published by the American Mathematical Society,”
Access rights to Published version:	Restricted or Subscription Access
Copyright Holders:	© Copyright 2020, American Mathematical Society
Date of first compliant deposit:	2 June 2020
Date of first compliant Open Access:	2 June 2020
Related URLs:	Publisher

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