On integration in vector spaces

On integration in vector spaces
HTML articles powered by AMS MathViewer

by B. J. Pettis

Trans. Amer. Math. Soc. 44 (1938), 277-304

DOI: https://doi.org/10.1090/S0002-9947-1938-1501970-8

PDF | Request permission

References

Théorie des Opérations Linéaires

Théorie de l’Intégrale

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

Integration von Funktionen, deren Werte die Elemente eines Vektorräumes sind

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
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

Integration of abstract functions

Integration of vector-valued functions

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
Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, DOI 10.2307/1968508

Beiträge zur Theorie der Orthogonalentwicklungen

Über unbedingte Konvergenz in Funktionenräumen

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

Linear functional transformations in general spaces

Sur un lemme de la théorie des espaces linéaires

Sur les opérations dans l’espace des fonctions bornées

Sur une généralisation des intégrales de M. J. Radon

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