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

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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. Kislyakov^a, D. V. Maksimov^b

^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

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\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{https://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}

Linking options:

https://www.mathnet.ru/eng/znsl325

https://www.mathnet.ru/eng/znsl/v327/p78

Cycle of papers

Isomorphic type of the space of smooth functions determined by a finite family of differential operators
S. V. Kislyakov, D. V. Maksimov
Zap. Nauchn. Sem. POMI, 2005, 327, 78–97
Isomorphic type of the space of smooth functions determined by a finite family of differential operators. II
D. V. Maksimov
Zap. Nauchn. Sem. POMI, 2006, 333, 62–65

This publication is cited in the following 6 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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