An abstract Radon-Nikodym theorem
HTML articles powered by AMS MathViewer
- by C. E. Rickart
- Trans. Amer. Math. Soc. 56 (1944), 50-66
- DOI: https://doi.org/10.1090/S0002-9947-1944-0010781-7
- PDF | Request permission
Erratum: Trans. Amer. Math. Soc. 56 (1944), 570.
References
- S. Banach, Théorie des opérations linéaires, Monografje Matematyczme, Warsaw, 1934.
- Garrett Birkhoff, Lattice Theory, American Mathematical Society, New York, 1940. MR 0001959
- Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, DOI 10.2307/1968508
- James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR 1501880, DOI 10.1090/S0002-9947-1936-1501880-4
- 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
- Nelson Dunford and Anthony P. Morse, Remarks on the preceding paper of James A. Clarkson: “Uniformly convex spaces” [Trans. Amer. Math. Soc. 40 (1936), no. 3; 1 501 880], Trans. Amer. Math. Soc. 40 (1936), no. 3, 415–420. MR 1501881, DOI 10.1090/S0002-9947-1936-1501881-6
- Nelson Dunford and B. J. Pettis, Linear operations on summable functions, Trans. Amer. Math. Soc. 47 (1940), 323–392. MR 2020, DOI 10.1090/S0002-9947-1940-0002020-4 I. Gelfand, Abstrakte Funktionen und lineare Operatoren, Rec. Math. (Mat. Sbornik) N.S. vol. 4 (1938) pp. 235-284.
- T. H. Hildebrandt, On unconditional convergence in normed vector spaces, Bull. Amer. Math. Soc. 46 (1940), 959–962. MR 3448, DOI 10.1090/S0002-9904-1940-07344-6
- 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
- B. J. Pettis, Differentiation in Banach spaces, Duke Math. J. 5 (1939), no. 2, 254–269. MR 1546122, DOI 10.1215/S0012-7094-39-00523-5
- 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
- R. S. Phillips, On weakly compact subsets of a Banach space, Amer. J. Math. 65 (1943), 108–136. MR 7938, DOI 10.2307/2371776
- C. E. Rickart, Decomposition of additive set functions, Duke Math. J. 10 (1943), 653–665. MR 9977, DOI 10.1215/S0012-7094-43-01061-0
- 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 S. Saks, Theory of the integral, Monografje Matematyczme, Warsaw, 1937.
Bibliographic Information
- © Copyright 1944 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 56 (1944), 50-66
- MSC: Primary 46.0X
- DOI: https://doi.org/10.1090/S0002-9947-1944-0010781-7
- MathSciNet review: 0010781