Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from https://doi.org/10.1090/S0002-9904-1953-09694-X below:

Website Navigation

• Skip to main content

Bulletin of the American Mathematical Society

by T. H. Hildebrandt PDF

Bull. Amer. Math. Soc. 59 (1953), 111-139

1. S. Banach, The Lebesgue integral in abstract spaces, Saks, Theory of the integral, Warsaw, 1937, pp. 320-330. 2. S. Banach, Sur le problème de mesure, Fund. Math. vol. 4 (1923) pp. 1-34. 3. S. Banach, Théorie des opérations lineaires, Warsaw, 1932.
• Garrett Birkhoff, Integration of functions with values in a Banach space, Trans. Amer. Math. Soc. 38 (1935), no. 2, 357–378. MR 1501815, DOI 10.1090/S0002-9947-1935-1501815-3
5. S. Banach, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, rev. ed., 1948. 6. S. Bochner, Integration von Funktionen deren Werte die Elemente eines Vektorraumes sind, Fund. Math. vol. 20 (1935) pp. 262-276.
• Salomon Bochner and Ky Fan, Distributive order-preserving operations in partially ordered vector sets, Ann. of Math. (2) 48 (1947), 168–179. MR 19223, DOI 10.2307/1969223
• S. Bochner and A. E. Taylor, Linear functionals on certain spaces of abstractly-valued functions, Ann. of Math. (2) 39 (1938), no. 4, 913–944. MR 1503445, DOI 10.2307/1968472
9. J. C. Burkill, Functions of intervals, Proc. London Math. Soc. (2) vol. 22 (1924) pp. 275-310. 10. C. Carathéodory, Entwurf fuer eine Algebraisierung des Integralbegriffs, S.-B. Math. Nat. Abt. Bayer. Akad. Wiss. (1938) pp. 27-68. 11. P. J. Daniell, A general form of integral, Ann. of Math. vol. 19 (1917-18) pp. 279-294. 12. P. J. Daniell, Further properties of the general integral, Ann. of Math. vol. 22 (1919-20) pp. 203-220.
• Jean Dieudonné, Sur le théorème de Lebesgue-Nikodym, Ann. of Math. (2) 42 (1941), 547–555 (French). MR 4719, DOI 10.2307/1968917
14. N. Dunford, Integration of abstract functions (Abstract), Bull. Amer. Math. Soc. vol. 41 (1936) p. 178.
• Nelson Dunford, Integration in general analysis, Trans. Amer. Math. Soc. 37 (1935), no. 3, 441–453. MR 1501796, DOI 10.1090/S0002-9947-1935-1501796-2
16. N. Dunford, Integration of vector valued functions (Abstract), Bull. Amer. Math. Soc. vol. 42 (1937) p. 24.
• Nelson Dunford, Uniformity in linear spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 305–356. MR 1501971, DOI 10.1090/S0002-9947-1938-1501971-X
18. G. Fichtenholz and L. Kantorovic, Sur les opérations dans l’espace des fonctions bornées, Studia Math. vol. 5 (1934) pp. 69-98.
• Maurice Fréchet, L’intégrale abstraite d’une fonction abstraite d’une variable abstraite et son application à la moyenne d’un élément aléatoire de nature quelconque, Revue Sci. (Rev. Rose Illus.) 82 (1944), 483–512 (French). MR 17346
20. N. Dunford, Sur l’intégrale d’une fonctionnelle étendue à un ensemble abstrait, Bull. Soc. Math. France vol. 43 (1915) pp. 249-267. 21. H. Freudenthal, Teilweise geordnete Moduln, Neder. Akad. Wetensch. vol. 39 (1936) pp. 641-651.
• I. M. Ghelfand, Some problems of the theory of quasilinear equations, Acad. R. P. Romîne. An. Romîno-Soviet. Ser. Mat.-Fiz. (3) 13 (1959), no. 4(31), 5–83 (Romanian). MR 110869
• H. H. Goldstine, Linear functionals and integrals in abstract spaces, Bull. Amer. Math. Soc. 47 (1941), 615–620. MR 5786, DOI 10.1090/S0002-9904-1941-07524-5
24. A. P. Gomes, Introduçãoao estudo duma noção de funcional em espaços sem pontos, Portug. Mat. vol. 5 (1946) pp. 1-120.
• Ruy Luís Gomes, Sur la notion de fonctionnelle, Portugal. Math. 5 (1946), 202–206 (French). MR 20716
26. M. Gowurin, Ueber die Stieltjessche Integration abstrakter Funktionen, Fund. Math. vol. 27 (1936) pp. 255-268.
• Lawrence M. Graves, Riemann integration and Taylor’s theorem in general analysis, Trans. Amer. Math. Soc. 29 (1927), no. 1, 163–177. MR 1501382, DOI 10.1090/S0002-9947-1927-1501382-X
• Hans Hahn, Über eine Verallgemeinerung der Riemannschen Integraldefinition, Monatsh. Math. Phys. 26 (1915), no. 1, 3–18 (German). MR 1548636, DOI 10.1007/BF01999436
• Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869, DOI 10.1007/978-1-4684-9440-2
• T. H. Hildebrandt, On bounded linear functional operations, Trans. Amer. Math. Soc. 36 (1934), no. 4, 868–875. MR 1501772, DOI 10.1090/S0002-9947-1934-1501772-9
31. T. H. Hildebrandt, Lebesgue integration in general analysis (Abstract), Bull. Amer. Math. Soc. vol. 33 (1927) p. 646. 32. S. Izumi, An abstract integral, I. Proc. Imp. Acad. Tokyo vol. 16 (1940) pp. 16-25; II. pp. 87-89; III. (w. M. Nakamura) pp. 518-523; IV. vol. 17 (1940) pp. 1-4; V. (w. N. Matuyama and M. Orihara) vol. 18 (1942) pp. 45-49; VII. vol. 18 (1942) pp. 53-56; X. pp. 543-547.
• R. L. Jeffery, Integration in abstract space, Duke Math. J. 6 (1940), 706–718. MR 2706, DOI 10.1215/S0012-7094-40-00652-4
34. L. Kantorovic, Linear halbgeordnete Raeume, Mat. Sbornik. (2) vol. 44 (1937) pp. 121-165.
• Demetrios A. Kappos, Ein Beitrag zur Carathéodoryschen Definition der Ortsfunktionen in Booleschen Algebren, Math. Z. 51 (1949), 616–634 (German). MR 28375, DOI 10.1007/BF01181550
• A. Kolmogoroff, Untersuchungen über denIntegralbegriff, Math. Ann. 103 (1930), no. 1, 654–696 (German). MR 1512641, DOI 10.1007/BF01455714
37. A. Kolmogoroff, Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes, Studia Math. vol. 5 (1934) pp. 29-33.
• Kiyonori Kunisawa, Integrations in a Banach space, Proc. Phys.-Math. Soc. Japan (3) 25 (1943), 524–529. MR 15680
39. H. Lebesgue, Leçons sur l’intégration, 2d ed., Paris, 1928. 40. H. M. MacNeille, Extensions of measure, Proc. Nat. Acad. Sci. U.S.A. vol. 24 (1938) pp. 188-193.
• H. M. MacNeille, A unified theory of integration, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 71–76. MR 3705, DOI 10.1073/pnas.27.1.71
• M. S. Macphail, Integration of functions in a Banach space, Natl. Math. Mag. 20 (1945), 69–78. MR 15681, DOI 10.2307/3030092
• E. J. McShane, Remark concerning integration, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 46–49. MR 27831, DOI 10.1073/pnas.35.1.46
• Noboru Matsuyama, An abstract integral. IX, Proc. Imp. Acad. Tokyo 18 (1942), 539–542. MR 21079
• E. H. Moore and H. L. Smith, A General Theory of Limits, Amer. J. Math. 44 (1922), no. 2, 102–121. MR 1506463, DOI 10.2307/2370388
• Masahiro Nakamura, An abstract integral. VI, Proc. Imp. Acad. Tokyo 18 (1942), 50–52. MR 21076
47. H. Nakano, Ueber Erweiterungen von allgemein teilweise geordneten Moduln, I. Proc. Imp. Acad. Tokyo vol. 18 (1942) pp. 626-630; II. ibid. vol. 19 (1943) pp. 138-143.
• John von Neumann, On complete topological spaces, Trans. Amer. Math. Soc. 37 (1935), no. 1, 1–20. MR 1501776, DOI 10.1090/S0002-9947-1935-1501776-7
49. O. Nikodym, Sur une généralisation des intégrales de M. J. Radon, Fund. Math. vol. 15 (1930) pp. 131-179.
• John M. H. Olmsted, Lebesgue theory on a Boolean algebra, Trans. Amer. Math. Soc. 51 (1942), 164–193. MR 6593, DOI 10.1090/S0002-9947-1942-0006593-9
• Masae Orihara and Gen-ichirô Sunouchi, An abstract integral. VIII, Proc. Imp. Acad. Tokyo 18 (1942), 535–538. MR 21078
• B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 277–304. MR 1501970, DOI 10.1090/S0002-9947-1938-1501970-8
• R. S. Phillips, Integration in a convex linear topological space, Trans. Amer. Math. Soc. 47 (1940), 114–145. MR 2707, DOI 10.1090/S0002-9947-1940-0002707-3
• G. Baley Price, The theory of integration, Trans. Amer. Math. Soc. 47 (1940), 1–50. MR 1442, DOI 10.1090/S0002-9947-1940-0001442-5
• C. E. Rickart, An abstract Radon-Nikodym theorem, Trans. Amer. Math. Soc. 56 (1944), 50–66. MR 10781, DOI 10.1090/S0002-9947-1944-0010781-7
• C. E. Rickart, Integration in a convex linear topological space, Trans. Amer. Math. Soc. 52 (1942), 498–521. MR 7571, DOI 10.1090/S0002-9947-1942-0007571-6
• J. Ridder, Mass- und Integrationstheorie in Strukturen, Acta Math. 73 (1941), 131–173 (German). MR 5783, DOI 10.1007/BF02392229
58. F. Riesz, Sur l’intégrale de Lebesgue, Acta Math. vol. 42 (1919) pp. 191-205.
• Frédéric Riesz, Sur quelques notions fondamentales dans la théorie générale des opérations linéaires, Ann. of Math. (2) 41 (1940), 174–206 (French). MR 902, DOI 10.2307/1968825
• S. Saks, Integration in abstract metric spaces, Duke Math. J. 4 (1938), no. 2, 408–411. MR 1546062, DOI 10.1215/S0012-7094-38-00433-8
61. M. H. Stone, Notes on integration, Proc. Nat. Acad. Sci. U.S.A., I. vol. 34 (1948) pp. 336-342; II. pp. 447-455; III. pp. 483-490; IV. vol. 35 (1949) pp. 50-58.
• G. Van der Lijn, Une généralisation de l’intégrale de Radon, Bull. Soc. Roy. Sci. Liège 10 (1941), 168–175 (French). MR 14189
• B. Vulikh, Sur l’intégrale de Stieltjes de fonctions, dont les valeurs appartiennent à un espace semiordonné, Uchenye Zapiski Leningrad State Univ., Math. Ser. 83(12) (1941), 3–29 (Russian, with French summary). MR 0016529
• Franz Wecken, Abstrakte Integrale und fastperiodische Funktionen, Math. Z. 45 (1939), 377–404 (German). MR 69, DOI 10.1007/BF01580291
• John V. Wehausen, Transformations in linear topological spaces, Duke Math. J. 4 (1938), no. 1, 157–169. MR 1546041, DOI 10.1215/S0012-7094-38-00412-0

• Journal: Bull. Amer. Math. Soc. 59 (1953), 111-139
• DOI: https://doi.org/10.1090/S0002-9904-1953-09694-X
• MathSciNet review: 0053191

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4