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Isomorphic type of a space of smooth functions generated by a finite family of differential operators. II

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Abstract

The space of smooth function on T 3 generated by one differential expression may fail to be isomorphic to a complemented subspace of C(K). For instance, this happens for the differential expression ∂ 21 -∂ 22 -∂ 23 . Bibliography: 2 titles.

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References

  1. S. V. Kislyakov and D. V. Maksimov, “Isomorphic type of a space of smooth functions generated by a finite family of independent operators,” Zap. Nauchn. Semin. POMI, 327, 78–97 (2005).

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  2. C. C. Graham and O. C. McGehee, Essays in Commutative Harmonic Analysis, Springer, Berlin (1979).

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Authors and Affiliations

  1. Russian State Pedagogical University, St.Petersburg, Russia

    D. V. Maksimov

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  1. D. V. Maksimov
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 333, 2006, pp. 62–65.

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Maksimov, D.V. Isomorphic type of a space of smooth functions generated by a finite family of differential operators. II. J Math Sci 141, 1543–1544 (2007). https://doi.org/10.1007/s10958-007-0061-1

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  • DOI: https://doi.org/10.1007/s10958-007-0061-1

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