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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 327, Pages 78–97
(Mi znsl325)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl325 https://www.mathnet.ru/eng/znsl/v327/p78
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Abstract page: | 374 | Full-text PDF : | 95 | References: | 47 |
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