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Matematicheskie Zametki, 1974, Volume 16, Issue 1, Pages 107–115 (Mi mzm7441)  

This article is cited in 2 scientific papers (total in 2 papers)

Semigroups of operators and mixed properties of Banach space elements

A. P. Terekhin

Saratov State University
Full-text PDF (549 kB) Citations (2)
Abstract: With the aid of a finite collection of bounded strongly continuous semigroups of operators, we define mixed differences of elements, analogous to the mixed differences of functions of many variables defined over the whole space. The closure of the product of powers of generating operators is the analog of differentiation, generalized in the Sobolev sense. We establish relationships between the properties of differences of order $r+k$ and "$r$-differentiation".
Received: 12.06.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 1, Pages 649–654
DOI: https://doi.org/10.1007/BF01098820
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: A. P. Terekhin, “Semigroups of operators and mixed properties of Banach space elements”, Mat. Zametki, 16:1 (1974), 107–115; Math. Notes, 16:1 (1974), 649–654
Citation in format AMSBIB
\Bibitem{Ter74}
\by A.~P.~Terekhin
\paper Semigroups of operators and mixed properties of Banach space elements
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 1
\pages 107--115
\mathnet{http://mi.mathnet.ru/mzm7441}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367721}
\zmath{https://zbmath.org/?q=an:0317.47032}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 1
\pages 649--654
\crossref{https://doi.org/10.1007/BF01098820}
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  • https://www.mathnet.ru/eng/mzm/v16/i1/p107
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:159
    Full-text PDF :94
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