The theory of integration
HTML articles powered by AMS MathViewer
- by G. Baley Price PDF
- Trans. Amer. Math. Soc. 47 (1940), 1-50 Request permission
References
-
Stefan Banach 1. Théorie des Opérations Linéaires, Monografje Matematyczne, vol. 1, 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
- Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, DOI 10.2307/1968508 Blaschke 1. Kreis und Kugel, Leipzig, Veit, 1916. Bochner 1. Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind, Fundamenta Mathematicae, vol. 20 (1933), pp. 262-276.
- 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 Integration of vector-valued functions, Bulletin of the American Mathematical Society, vol. 43 (1937), p. 24.
- Nelson Dunford, Integration and linear operations, Trans. Amer. Math. Soc. 40 (1936), no. 3, 474–494. MR 1501886, DOI 10.1090/S0002-9947-1936-1501886-5 Mark Gowurin 1. Über die Stieltjessche Integration abstrakter Funktionen, Fundamenta Mathematicae, 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 Hausdorff 1. Mengenlehre, 2d edition, Berlin and Leipzig, de Gruyter, 1927. W. Hobson 1. The Theory of Functions of a Real Variable, vol. 1, 3d edition, 1927; vol. 2, 2d edition, 1926; Cambridge University Press. Mazur 1. Über die kleinste konvexe Menge, die eine gegebene kompakte Menge enthält, Studia Mathematica, vol. 2 (1930), pp. 7-9.
- Konrad Knopp, Theorie und Anwendung der Unendlichen Reihen, Springer-Verlag, Berlin-Heidelberg, 1947 (German). 4th ed. MR 0028430
- 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
- G. Baley Price, On the extreme points of convex sets, Duke Math. J. 3 (1937), no. 1, 56–67. MR 1545973, DOI 10.1215/S0012-7094-37-00307-7
- G. Baley Price, Definitions and properties of monotone functions, Bull. Amer. Math. Soc. 46 (1940), 77–80. MR 1265, DOI 10.1090/S0002-9904-1940-07134-4 On the completeness of a certain metric space with an application to Blaschke’s selection theorem, to appear in the Bulletin of the American Mathematical Society. Stanislaw Saks 1. Theory of the Integral, Monografje Matematyczne, vol. 7, Warsaw and Lwów, 1937. Waclaw Sierpiński 1. Introduction to General Topology, Toronto, The University of Toronto Press, 1934.
Additional Information
- © Copyright 1940 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 47 (1940), 1-50
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9947-1940-0001442-5
- MathSciNet review: 0001442