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Solution to a problem of Nirenberg concerning expanding maps
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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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Official URL: https://doi.org/10.1090/proc/15214
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 | ||||||||
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Subjects: | G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography Q Science > QA Mathematics |
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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: |
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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 | ||||||||
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