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Integral representation of certain linear functionals

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Bibliography

  1. Alexandroff, A. D.,Additive set functions in abstract spaces. Mat. Sbornik (N.S.) 8, 307–348 (1940); (N.S.) 9, 563–628 (1941); (N.S.) 13, 169–238 (1943).

    MATH  MathSciNet  Google Scholar 

  2. Banach, Stefan,Théorie des opérations linéaires. Monografie Matematyczne, Warszawa, 1932.

  3. Daniell, P. J.,A general form of integral. Ann. of Math., Second series 19, pp. 279–294 (1917–1918).

    MathSciNet  Google Scholar 

  4. Gel'fand, I. M.,Normierte Ringe. Mat. Sbornik (N.S.) 9, 3–24 (1941).

    MATH  Google Scholar 

  5. Halmos, Paul R.,Measure theory. D. Van Nostrand Company, New York, 1950.

    MATH  Google Scholar 

  6. Hewitt, Edwin,Linear functionals on spaces of continuous functions, Fund. Math. 37, 161–189 (1950).

    MATH  MathSciNet  Google Scholar 

  7. Hewitt, Edwin,Integration in locally compact spaces I. To appear in University of Washington (U.S.A.) Studies in Mathematics.

  8. Hewitt, Edwin andZuckerman, Herbert S.,Integration in locally compact spaces II, Nagoya Math. Jour. 3, pp. 7–22 (1951).

    MATH  MathSciNet  Google Scholar 

  9. Hewitt, Edwin,A problem concerning finitely additive measures. Matematisk Tidskrift (B) 1951.

  10. Kakutani, Shizuo,Concrete representation of abstract (M)-spaces, Ann. of Math. 42, 994–1028 (1941).

    Article  MathSciNet  Google Scholar 

  11. Markov, A.,On mean values and exterior densities, Mat. Sbornik (N.S.) 4, pp. 165–191 (1938).

    MATH  Google Scholar 

  12. McShane, E. J.,Remark concerning integration, Proc. Nat. Acad. Sci. U.S.A. 35, 46–49 (1949).

    Article  MATH  MathSciNet  Google Scholar 

  13. McShane, E. J., Abstract No. 413t, Bull. Amer. Math. Soc. 57, 371 (1951).

  14. Očan, Yu. S.,Obobščennyî integral. Mat. Sbornik (N.S.) 28, 293–336 (1951).

    MathSciNet  Google Scholar 

  15. Riesz, M., Annales de la Société Polonaise de Mathématique 25 (Festschrift zu H. Steinhaus).

  16. Saks, Stanisŀaw,Theory of the integral. Monografie Matematyczne, Warszawa-Łwow, 1937.

  17. Stone, M. H.,Notes on integration, I, II, III, IV. Proc. Nat. Acad. Sci. U.S.A. 34, 336–342, 447–455, 483–490 (1948); 35, 50–58 (1949).

    Article  MATH  MathSciNet  Google Scholar 

  18. Yosida, Kôsaku andHewitt, Edwin,Finitely additive measures. Trans. Amer. Math. Soc. 72, pp. 46–66 (1952).

    Article  MATH  MathSciNet  Google Scholar 

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Hewitt, E. Integral representation of certain linear functionals. Ark. Mat. 2, 269–282 (1952). https://doi.org/10.1007/BF02590883

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