Summary
Two characterization theorems for functions fromE N into R are given in terms of set function integrabiuty and set function summability.
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References
W. D. L. Appling, «Interval Functions and Continuity », Rend. Circ. Mat. Palermo, Ser. II, Tom. XI, 1962, pp. 285–290.
—— ——, «Summability of Real-Valued Set Functions », Riv. Mat. Parma, (2), vol. 8, 1967, pp. 77–100.
A. Kolmogoroff, «Untersuchungen uber den Integralbegriff », Math. Ann., vol. 103, 1930, pp. 654–696.
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Entrata in Redazione il 4 marzo 1970.
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Appling, W.D.L. Continuity and set function summability. Annali di Matematica 87, 357–374 (1970). https://doi.org/10.1007/BF02411987
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DOI: https://doi.org/10.1007/BF02411987