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Best approximation in normed modules over semifields

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Literature cited

  1. A. L. Garkavi and A. M. Flomin, “Approximative properties of sets in certain topological spaces,” Mat. Zametki,2, No. 5, 523–530 (1967).

    Google Scholar 

  2. A. I. Gusev, “Best approximation in pre-Hilbert modules over a semifield and nuclear locally convex spaces,” in: Application of Functional Analysis in Approximation Theory [in Russian], Vol. 4, Kalinin State Univ., Kalinin (1974), pp. 34–48.

    Google Scholar 

  3. A. I. Gusev, “Duality theorems for approximation by elements of submodules in normed modules over semifields,” in: Application of Functional Analysis in Approximation Theory [in Russian], Vol. 5, Kalinin State Univ., Kalinin (1975), pp. 28–36.

    Google Scholar 

  4. T. A. Sarymsakov and M. A. Mirzakhmedov, “On stationary processes on Hilbert spaces over semifields,” Dokl. Akad. Nauk SSSR,197, No. 3, 529–530 (1971).

    Google Scholar 

  5. T. A. Sarymsakov and Dzh. Khadzhiev, “Topological modules over semifields of the first kind,” Nauchn. Tr. Tashkentsk. Gos. Univ.,446, 106–144 (1973).

    Google Scholar 

  6. A. M. Flomin, “On best approximation by elements of convex sets in normed linear spaces over a semifield,” Uch. Zap. Kalinin. Gos. Pedagog. Inst.,39, 65–72 (1964).

    Google Scholar 

  7. A. M. Flomin, “On approximation in locally convex topological spaces,” Uch. Zap. Kalinin. Gos. Pedagog. Inst.,52, 147–198 (1967).

    Google Scholar 

  8. Dzh. Khadzhiev, “Certain questions of semiordered topological systems,” Nauchn. Tr. Tashkentsk. Gos. Univ.,460, 137–143 (1974).

    Google Scholar 

  9. M. Ya. Antonovskii, V. G. Boltyanskii, and T. A. Sarymsakov, Topological Boolean Algebras [in Russian], Tashkent (1963).

  10. A. I. Gusev, “Certain questions of the theory of modules over topological semifields,” in: Application of Functional Analysis in Approximation Theory [in Russian], Vol. 6, Kalinin. State Univ., Kalinin (1975), pp. 17–34.

    Google Scholar 

  11. M. Ya. Antonovskii, V. G. Boltyanskii, and T. A. Sarymsakov, “Finite-dimensional modules over semifields,” Nauchn. Tr. Tashkentsk. Gos. Univ.,208, 3–29 (1962).

    Google Scholar 

  12. M. Ya. Antonovskii, V. G. Boltyanskii, and T. A. Sarymsakov, Topological Semifields [in Russian], Tashkent (1960).

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Authors and Affiliations

  1. Kalinin State University, USSR

    A. I. Gusev

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  1. A. I. Gusev
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Translated from Matematicheskie Zametki, Vol. 25, No. 3, pp. 321–328, March, 1979.

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Gusev, A.I. Best approximation in normed modules over semifields. Mathematical Notes of the Academy of Sciences of the USSR 25, 167–171 (1979). https://doi.org/10.1007/BF01159506

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