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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 107, Pages 198–203 (Mi znsl3426)  

This article is cited in 3 scientific papers (total in 3 papers)

Short communications

On isometries in vector-valued $L^p$-spaces

A. L. Koldobskii
Full-text PDF (345 kB) Citations (3)
Abstract: The results by A. I. Plotkin on the equimeasurability of a function and its $L^p$-isometric image are extended to the isometries in some vector-valued $L^p$-spaces. The isometries of $L^p(X;C(K))$ are characterized.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 3, Pages 420–423
DOI: https://doi.org/10.1007/BF01839616
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: A. L. Koldobskii, “On isometries in vector-valued $L^p$-spaces”, Investigations on linear operators and function theory. Part X, Zap. Nauchn. Sem. LOMI, 107, "Nauka", Leningrad. Otdel., Leningrad, 1982, 198–203; J. Soviet Math., 36:3 (1987), 420–423
Citation in format AMSBIB
\Bibitem{Kol82}
\by A.~L.~Koldobskii
\paper On isometries in vector-valued $L^p$-spaces
\inbook Investigations on linear operators and function theory. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 107
\pages 198--203
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3426}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=676160}
\zmath{https://zbmath.org/?q=an:0515.46030|0612.46030}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 3
\pages 420--423
\crossref{https://doi.org/10.1007/BF01839616}
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  • https://www.mathnet.ru/eng/znsl/v107/p198
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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