The representation of linear operators from $L^ p$ to $L$
HTML articles powered by AMS MathViewer
- by R. E. Fullerton PDF
- Proc. Amer. Math. Soc. 5 (1954), 689-696 Request permission
References
-
S. Banach, Théorie des opérationes linéaires, Warsaw, 1934.
- Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, DOI 10.2307/1968508
- 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 O. Nikodym, Sur une généralisation des intégrales de M. Radon, Fund. Math. vol. 15 (1930) pp. 137-179.
- R. S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516–541. MR 4094, DOI 10.1090/S0002-9947-1940-0004094-3
- 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
- Friedrich Riesz, Untersuchungen über Systeme integrierbarer Funktionen, Math. Ann. 69 (1910), no. 4, 449–497 (German). MR 1511596, DOI 10.1007/BF01457637 S. Saks, Theory of the integral, Warsaw, 1937.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 689-696
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064311-6
- MathSciNet review: 0064311