Lebesgue integrals are defined as a construction in measure theory, that is the measure precedes the integral; alternatively one can introduce integrals as linear functionals satisfying some axioms, in that approach measure can be defined using integral, hence the integral precedes measure. A Daniell integral is a particular axiomatically defined type of such functionals.

- V. I. Sobolev, Daniell integral, eom entry
- wikipedia: Daniell integral
- P. J. Daniell,
*A general form of integral*, Annals of Mathematics, Second Series, 19 (4): 279–294 (1918) doi

category: analysis

Created on October 26, 2016 at 11:44:52. See the history of this page for a list of all contributions to it.