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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 327, Pages 78–97 (Mi znsl325)  
This article is cited in 6 scientific papers (total in 6 papers)

Isomorphic type of the space of smooth functions determined by a finite family of differential operators

S. V. Kislyakova, D. V. Maksimovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Herzen State Pedagogical University of Russia
Full-text PDF (268 kB) Citations (6)
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Abstract: On the torus $\mathbb T^n$ with $n\ge 2$, the space mentioned in the title is not isomorphic to a complemented subspace of $C(K)$ if the finite family in question consists of homogeneous differential operators of one and the same order with constant coefficients and at least two among them are linearly independent.
Received: 01.11.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 139, Issue 2, Pages 6406–6416
DOI: https://doi.org/10.1007/s10958-006-0358-5
Bibliographic databases:
UDC: 813.70.72339
Language: Russian
Citation: S. V. Kislyakov, D. V. Maksimov, “Isomorphic type of the space of smooth functions determined by a finite family of differential operators”, Investigations on linear operators and function theory. Part 33, Zap. Nauchn. Sem. POMI, 327, POMI, St. Petersburg, 2005, 78–97; J. Math. Sci. (N. Y.), 139:2 (2006), 6406–6416
Citation in format AMSBIB
\Bibitem{KisMak05}
\by S.~V.~Kislyakov, D.~V.~Maksimov
\paper Isomorphic type of the space of smooth functions determined by a~finite family of differential operators
\inbook Investigations on linear operators and function theory. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 327
\pages 78--97
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl325}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2184430}
\zmath{https://zbmath.org/?q=an:1107.46021}
\elib{https://elibrary.ru/item.asp?id=9127025}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 139
\issue 2
\pages 6406--6416
\crossref{https://doi.org/10.1007/s10958-006-0358-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750161843}
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    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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