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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 3, Pages 90–92
DOI: https://doi.org/10.4213/faa2917 (Mi faa2917) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Quaternion Normed Space with Isometry Group $\mathbb{Z}_2$

R. S. Ismagilova, Yu. I. Lyubichb

a N. E. Bauman Moscow State Technical University
b Technion – Israel Institute of Technology
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DOI: https://doi.org/10.4213/faa2917
Abstract: In a finite-dimensional linear space over the quaternion field, we construct a norm with the following property. Any linear isometry is one of the two transformations $x\mapsto x$ and $x\mapsto-x$.
Keywords: quaternion normed space, isometry.
Received: 27.09.2006
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 3, Pages 239–241
DOI: https://doi.org/10.1007/s10688-008-0036-0
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: R. S. Ismagilov, Yu. I. Lyubich, “Quaternion Normed Space with Isometry Group $\mathbb{Z}_2$”, Funktsional. Anal. i Prilozhen., 42:3 (2008), 90–92; Funct. Anal. Appl., 42:3 (2008), 239–241
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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