Previous |  Up |  Next

Article

Keywords:
finitely additive integration; abstract Riemann integration; absolute continuity
Summary:

References:
[1] E. de Amo, I. Chiţescu and M. Díaz-Carrillo: An approximate functional Radon-Nikodym theorem. Rend. del Circ. Mat. de Palermo 48 (1999), 443–450. MR 1731446
[2] E. de Amo, I. Chiţescu and M. Díaz-Carrillo: An exact functional Radon-Nikodym theorem for Daniell Integrals. Studia Mathematica 148 (2001), 97–110. MR 1881255
[3] E. de Amo and M. Díaz-Carrillo: On abstract Fubini theorems for finitely additive integration. Proc. Amer. Math. Soc. 123 (1995), 2739–2744. MR 1257101
[4] G. Aumann: Integralerweiterungen mittels Normen. Arch. Math. 3 (1952), 441–450. MR 0054693 | Zbl 0048.03703
[5] S. Bochner: Additive set functions on groups. Ann. of Math. 40 (1939), 769–799. MR 0000669 | Zbl 0024.04203
[6] M. Díaz-Carrillo: Handbook of Measure Theory, Vol. 1, Chap. 11. 2002.
[7] M. Díaz-Carrillo and H. Günzler: Abstract Daniell-Loomis spaces. Bull. Austral. Math. Soc. 53 (1996), 135–142. MR 1371921
[8] M. Díaz-Carrillo and H. Günzler: Daniell-Loomis integrals. Rocky Mount. J. Math. 27 (1997), 1057–1087. MR 1627666
[9] M. Díaz-Carrillo and P. Muñoz-Rivas: Finitely additive integration: integral extension with local-convergence. Ann. Sci. Math. Québec 17 (1993), 145–154. MR 1259371
[10] M. Díaz-Carrillo and P. Muñoz-Rivas: Positive linear functionals and improper integration. Ann. Sci. Math. Québec 18 (1994), 149–156. MR 1311751
[11] N. Dunford and J. T. Schwartz: Linear Operartors, part I, General Theory. Interscience, New-York, 1957. MR 1009162
[12] C. Fefferman: A Radon-Nikodym theorem for finitely additive set functions. Pacific J. Math. 23 (1967), 35–45. MR 0215956 | Zbl 0181.14801
[13] H. Günzler: Integration. Bibliographisches Institut, Mannheim, 1985. MR 0802205
[14] L. H. Loomis: Linear functionals and content. Amer. J. Math. 76 (1954), 168–182. MR 0060145 | Zbl 0055.10101
[15] W. F. Pfeffer: Integrals and Measures. Dekker, New-York, 1977. MR 0460580 | Zbl 0362.28004
[16] M. H. Stone: Notes on integration I–IV. Proc. Nat. Acad. Sci., USA 34 (1948), 336–342, 447–455, 483–490. MR 0025552
[17] F. W. Schäfke: Lokale Integralnormen and verallgemeinerte uneigentlich Riemann-Stiltjes-Integrals. J.Reine Angew. Math. 289 (1977), 118–134. MR 0453968
Partner of
EuDML logo