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Un confronto tra l’integrale di Daniell-Stone e quello di Lebesgue. (Italian) Zbl 0426.28005


MSC:

28A25 Integration with respect to measures and other set functions
28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures
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References:

[1] Aquaro G.,Alcuni aspetti della teoria dell’integrale di Daniell-Stone, Conf. Seminario Matem. Univ. Bari, 1965. · Zbl 0337.28008
[2] Fremlin D. H.,Topological Riesz Spaces and Measure Theory, Cambridge University Press, 1974. · Zbl 0273.46035
[3] Kakutani S.,Concrete representation of abstract (L)-spaces and the mean ergodic theorem, Ann. of Math., (2)42 (1941), 523–537. · Zbl 0027.11102
[4] Segal I. E.,Equivalences of measure spaces, Am. Jour. of Math.,73, (1951), 275–313. · Zbl 0042.35502
[5] Stone M. H.,Notes on integration, Proc. Nat. Acad. Sci. U.S.A.,34, (1948), 336–342. 447–455, 483–490;35 (1949), 50–58. · Zbl 0031.01402
[6] Volčič A.,Localizzabilità e decomposizione di Hahn per l’integrale di Daniell-Stone, Quaderni matematici Ist. Matem. Univ. Trieste, 1974.
[7] Volčič A.,Sulla differenziazione degli integrali di Daniell-Stone; in corso di pubblicazione.
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