Integration and linear operations

Integration and linear operations
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Trans. Amer. Math. Soc. 40 (1936), 474-494 Request permission

References

Théorie des Opérations Linéaires

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 von Funktionen, deren Werte die Elemente eines Vektorraumes sind

S. Bochner and J. Von Neumann, On compact solutions of operational-differential equations. I, Ann. of Math. (2) 36 (1935), no. 1, 255–291. MR 1503222, DOI 10.2307/1968678
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, Integration in general analysis, Trans. Amer. Math. Soc. 37 (1935), no. 3, 441–453. MR 1501796, DOI 10.1090/S0002-9947-1935-1501796-2
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

Zur Theorie der Orthogonalen Funktionensysteme

Inequalities

Einar Hille and J. D. Tamarkin, On the theory of linear integral equations. II, Ann. of Math. (2) 35 (1934), no. 3, 445–455. MR 1503171, DOI 10.2307/1968742

Über lineare Funktionaltransformationen und Funktionalgleichungen

Sur les ensembles compact de fonctions sommables

Théorie de l’Intégrale

Juljusz Schauder, Eine Eigenschaft des Haarschen Orthogonalsystems, Math. Z. 28 (1928), no. 1, 317–320 (German). MR 1544958, DOI 10.1007/BF01181164

Sur un problème concernant les ensembles mesurables superficiellement