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The work of saks in functional analysis

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References

  1. A. Baernstein II, “On reflexivity and summability”,Studia Math. 42 (1972), 91–94.

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  2. J. Bourgain, On the Banach-Saks property in Lebesgue spaces, preprint, Vrije Universiteit, Brussel, 1979.

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  3. J. B. Cooper, Saks spaces and applications to functional analysis, North-Holland, Amsterdam 1978.

  4. J. Diestel and J. J. Uhl, “Vector Measures”,A. M. S. Mathematical Surveys 15, Providence, R.I. 1977.

  5. H. Hahn, “Über Folgen linearer Operationen”,Monatshefte fÜr Mathematik und Physik 32 (1922), 1–88.

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  6. S. Kakutani, “Weak convergence in uniformly convex spaces”,Tohoku Math. J. 45 (1938), 188–193.

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  7. O. Nikodym, “Sur les familles bornées de fonctions parfaitement additives d’ensemble abstrait”,Monatshefte fÜr Mathematik und Physik 40 (1933), 418–426.

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Bibliography of Stanislaw Saks A. Books

  1. Zarys teorii calki, Warsaw, 1930.

  2. Théorie de l’intégrale, Monografie Matematyczne v.2, Warsaw, 1933.

  3. Theory of the integral, Monografie Matematyczne v.7, Warsaw, 1937.

  4. (with A. Zygmund)Funkcje analityczne, Monografie Matematyczne v.10, Warsaw, 1939 (and subsequent Polish, French, and English editions).

B. Articles

  1. Sur l’équivalence de deux théorèmes de la Théorie des ensembles,Fund. Math. 2 (1921), 1–3.

  2. (with A. Rajchman) “Sur la dérivabilité des fonctions monotones“,ibid. 4 (1923), 204–213.

  3. “Sur les nombres dérivés des fonctions”,ibid. 5 (1924), 98–104.

  4. “Sur l’homéomorphie des variétés à deux dimensions”,ibid. 5 (1924), 288–320.

  5. (with A. Zygmund) “Un teorema sulle curve continue”,Bolletino Un. Mat. Ital. 4 (1924), 7–10.

  6. (with A. Zygmund) “Sur les faisceaux des tangentes à une courbe”,Fund. Math. 6 (1924), 117–121.

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  7. “Sur un théorème de M. Lusin”,ibid. 6 (1924), 111–116.

  8. “O zasadzie indukcji matematycnej w mnogościach abstrakcyjnych”,Wiadom. Mat. 28 (1924-1925), 17–22.

  9. “Sur une classe des fonctions d’intervalle”, C.R. Acad. Sci. Paris 180 (1925), 38.

  10. “Sur les fonctions continues à un nombre dérive sommable”,Fund. Math. 7 (1925), 290–295.

  11. “Sur une certaine classe de fonctions d’ensemble”,Bull. Acad. Polon. A (1926), 103.

  12. (with S. Mazurkiewicz) “Sur les projections d’un ensemble fermé”,Fund. Math. 8 (1926), 109–113.

  13. “Sur la différentiation de l’aire des surfaces”, C.R. Acad. Sci. Paris 183 (1926), 850.

  14. “Remarque sur la mesure linéaire des ensembles plans”,Fund. Math. 9 (1926), 16–24.

  15. “Sur les fonctionelles de M. Banach et leur application aux développements des fonctions”,ibid. 10 (1927), 186–196.

  16. “Sur les fonctions d’intervalle”,ibid. 10 (1927), 211–224.

  17. “Sur l’aire des surfacesz =f(x,y)”,Acta Litt. Sci. Regiae Univ. Hung. 3 (1927), 170–176.

  18. (with W. Sierpinski) “Sur une propriété générale de fonctions”,Fund. Math. 11 (1928), 105–112.

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  19. (with S. Banach) “Sur les fonctions absolument continues des fonctions absolument continues”,ibid. 11 (1928), 113–116.

  20. “Sur un ensemble non mesurable, jouissant de la propriété de Baire”,ibid. 11 (1928), 277.

  21. “Sur un théorème de M. Montel”,C. R. Acad. Sci. Paris 187 (1928), 276–277.

  22. “Sur une inégalité de la théorie des fonctions”,Acta Litt. Sci. Regiae Univ. Hung. 4 (1928-1929), 51–55.

  23. “La condition(N) et l’intégrale de MM. Denjoy-Perron”, Fund. Math. 13 (1929), 218–227.

  24. “Remarque sur les fonctionelles linéaires dans les champsp,”Studia Math. 1 (1929), 217–223.

  25. “Sur l’intégrale de M. Denjoy”,Fund. Math. 15 (1930), 142–162.

  26. (with S. Banach) “Sur la convergence forte dans le champL p”’,Studia Math. 2 (1930), 51–57.

  27. “O funkajach wypuklych, podharmonicznych”,Mathesis Polska 6 (1931), 46–65.

  28. “Sur les points de rencontre de deux courbes”,Ann. Soc. Polon. Math. 9 (1931), 42–44.

  29. “Sur certaines classes de fonctions continues”,Fund. Math. 17 (1931), 124–151.

  30. “Note on defining properties of harmonie functions”,Bull. Amer. Math. Soc. 38 (1932), 380–382.

  31. “On the generalized derivatives”,J. Lond. Math. Soc. 7 (1932), 247–251.

  32. “On the functions of Besicovitch in the space of continuous functions”,Fund. Math. 19 (1932), 211–219.

  33. “On subharmonic functions”,Ada Litt. Sci. Regiae Univ. Hung. 5 (1930-1932), 187–193.

  34. “On the surfaces without tangent planes”,Ann. Math. (2)34 (1934), 114–124.

  35. “On some functional”,Trans. Amer. Math. Soc. 35 (1933), 549–556.

  36. “Addition to the note on some functionals”,ibid. 35 (1933), 965–970.

  37. (with J. D. Tamarkin) “On a theorem of Hahn-Steinhaus”,Ann. Math. (2)34 (1933), 595–601.

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  38. (with A. Zygmund) “On functions of rectangles and their application to the analytic functions”,Ann. Scuola Norm. Sup. Pisa 3 (1934), 1–6.

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  39. “Remark on the differentiability of the Lebesgue indefinite integral”,Fund. Math. 22 (1934), 257–261.

  40. “On the strong derivatives of functions of intervals”,ibid. 25 (1935), 235–252.

  41. (with S. Eilenberg) “Sur la dérivation des fonctions dans les ensembles dénombrables”,ibid. 25 (1935), 264–266.

  42. “Sur quelques propriétés métriques d’ensembles”,ibid. 26 (1936), 234–240.

  43. “On derivates of functions of rectangles”,ibid. 27 (1936), 72–76.

  44. “Sur un théorème de M. Roger”,ibid. 27 (1936), 151–152.

  45. “Review ofTrigonometrical Series by A. Zygmund”,Wiadom. Mat. 41 (1936), 127–133.

  46. “On some functionals II”,Trans. Amer. Math. Soc. 41 (1937), 160–170.

  47. “Integration in abstract metric spaces”,Duke Math. J. 4 (1938), 408–411.

  48. “Sur un théorème de P. Novikoff”,Mat. Sbornik, N. S. 7 (1940), 373–377.

  49. “On the operators of Blaschke and Privaloff for subharmonic functions”,ibid. 9 (1941), 451–455.

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Wojtaszczyk, P. The work of saks in functional analysis. The Mathematical Intelligencer 9, 41–43 (1987). https://doi.org/10.1007/BF03023572

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