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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1997, Volume 4, Number 3, Pages 339–347 (Mi jmag465)  
This article is cited in 5 scientific papers (total in 5 papers)

A representation of isometries on function spaces

Mikhail G. Zaidenberg

Université de Grenoble I, Institut Fourier, Laboratoire de Mathématiques, associé au CNRS (URA 188), B.P. 74, 38402 ST MARTIN D'HÈRES Cedex, France
Full-text PDF (236 kB) Citations (5)
Abstract: The main result states that every surjective isometry between two ideal Banach lattices of mesurable functions which satisfy certain conditions, can be represented as composition of an operator of mesurable change of variable and an operator of multiplication by a mesurable function.
Received: 18.12.1996
Bibliographic databases:
Document Type: Article
Language: English
Citation: Mikhail G. Zaidenberg, “A representation of isometries on function spaces”, Mat. Fiz. Anal. Geom., 4:3 (1997), 339–347
Citation in format AMSBIB
\Bibitem{Zai97}
\by Mikhail~G.~Zaidenberg
\paper A representation of isometries on function spaces
\jour Mat. Fiz. Anal. Geom.
\yr 1997
\vol 4
\issue 3
\pages 339--347
\mathnet{http://mi.mathnet.ru/jmag465}
\zmath{https://zbmath.org/?q=an:0916.46015}
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  • https://www.mathnet.ru/eng/jmag/v4/i3/p339
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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