Kolmogorov integral

Source: Wikipedia, the free encyclopedia.

In

Lebesgue–Stieltjes integral, the Burkill integral, and the Hellinger integral
as special cases. The integral is a limit over a directed family of partitions, when the resulting limiting value is independent of the tags of each partition segment.

References

  • "On integration in Banach spaces, VI", Ivan Dobrakov and Pedro Morales, Czechoslovak Mathematical Journal, 35 (1985), #2, 173-187, .
  • "On integration in Banach spaces, VII", Ivan Dobrakov, Czechoslovak Mathematical Journal, 38 (1988), #3, 434-449, .
  • Skvortsov, V. A. (2001) [1994], "Kolmogorov integral", Encyclopedia of Mathematics, EMS Press