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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)

Brief communications

Quaternion Normed Space with Isometry Group Z2

R. S. Ismagilova, Yu. I. Lyubichb

a N. E. Bauman Moscow State Technical University
b Technion – Israel Institute of Technology
Full-text PDF (113 kB) Citations (1)
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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↦x and x↦−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 Z2”, Funktsional. Anal. i Prilozhen., 42:3 (2008), 90–92; Funct. Anal. Appl., 42:3 (2008), 239–241
Citation in format AMSBIB
\Bibitem{IsmLyu08}
\by R.~S.~Ismagilov, Yu.~I.~Lyubich
\paper Quaternion Normed Space with Isometry Group~$\mathbb{Z}_2$
\jour Funktsional. Anal. i Prilozhen.
\yr 2008
\vol 42
\issue 3
\pages 90--92
\mathnet{http://mi.mathnet.ru/faa2917}
\crossref{https://doi.org/10.4213/faa2917}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2454483}
\zmath{https://zbmath.org/?q=an:1170.46314}
\transl
\jour Funct. Anal. Appl.
\yr 2008
\vol 42
\issue 3
\pages 239--241
\crossref{https://doi.org/10.1007/s10688-008-0036-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000259070800012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-51549084618}
Linking options:
  • https://www.mathnet.ru/eng/faa2917
  • https://doi.org/10.4213/faa2917
  • https://www.mathnet.ru/eng/faa/v42/i3/p90
    • This publication is cited in the following 1 articles:
    1. R. S. Ismagilov, Yu. I. Lyubich, “Family of Quaternion Norms with Isometry Group Z2 in General Position”, Math. Notes, 86:2 (2009), 282–285  mathnet  crossref  crossref  mathscinet  zmath  isi
    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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    Full-text PDF :227
    References:64
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