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Extension of continuous measures

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Literature Cited

  1. N. Bourbaki, Algebra. Algebraic Structures [Russian translation], Fizmatigiz, Moscow (1962).

    Google Scholar 

  2. N. Bourbaki, General Topology. Basic Structures, Addison-Wesley (1966).

  3. N. Bourbaki, General Topology. Topological Structures, Addison-Wesley (1966).

  4. J. L. Kelley, General Topology, Springer-Verlag (1975).

  5. G. Birkhoff, Lattice Theory, AMS. Colloq. Publ., Vol. 25 (1973).

  6. D. A. Vladimirov, Boolean Algebras [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  7. E. Hille and R. Phillips, Functional Analysis and Semigroups, Amer. Math. Soc., Providence, Rhode Island.

  8. E. A. Pecherskii, “A criterion for extendability of measures with values in a group,” Sib. Mat. Zh.,11, No. 6, 1409–1415 (1970).

    Google Scholar 

  9. R. Dudley, “On sequential convergence,” Trans. Am. Math. Soc.,112, No. 3, 483–507 (1964).

    Google Scholar 

  10. G. V. Nedogibchenko, “On topological Boolean rings,” Thesis, Novosibirsk State Univ., Novosibirsk (1973).

    Google Scholar 

  11. E. Floyd, “Boolean algebras with pathological order topologies,” Pac. J. Math.,5, 687–689 (1955).

    Google Scholar 

  12. L. Ya. Savel'ev, “Some conditions for extendability of vector measures,” Sib. Mat. Zh., No. 4, 937–950 (1968).

    Google Scholar 

  13. L. Ya. Savel'ev, “Measures on topological Boolean rings,” Dokl. Akad. Nauk SSSR,202, No. 1, 41–43 (1972).

    Google Scholar 

  14. L. Ya. Savel'ev, “A theorem on extension of sequential measures,” Dokl. Akad. Nauk SSSR,229, No. 2, 307–309 (1976).

    Google Scholar 

  15. L. Ya. Savel'ev, Lectures on Mathematical Analysis, Part Four [in Russian], Novosibirsk State Univ., Novosibirsk (1975).

    Google Scholar 

  16. L. Ya. Savel'ev, “Continuous extension of measures,” Sib. Mat. Zh.,5, No. 3, 639–650 (1964).

    Google Scholar 

  17. M. P. Kats, “On extension of vector measures,” Sib. Mat. Zh.,13, No. 5, 1158–1168 (1972).

    Google Scholar 

  18. S. A. Malyugin, On Additive Functions, Thesis, Novosibirsk State Univ., Novosibirsk (1976).

    Google Scholar 

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Authors
  1. L. Ya. Savel'ev
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Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 5, pp. 1082–1091, September–October, 1979.

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Savel'ev, L.Y. Extension of continuous measures. Sib Math J 20, 765–771 (1979). https://doi.org/10.1007/BF00971841

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  • DOI: https://doi.org/10.1007/BF00971841

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