Inequalities and Set Function Integrals Page: III
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non-negative, continuous set functions and the existence of
their integrals as asserted in Chapter II is investigated.
Some basic properties of set function integrals are developed.
An important result of the norm infimum function is if y is
a finitely additive, non-negative set function then the
integral of [y2 - y*2] exists and is zero. y* is the norm
infimum function of y.
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Milligan, Kenneth Wayne. Inequalities and Set Function Integrals, thesis, December 1971; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc131479/m1/3/: accessed April 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .