Theory of charges. A study of finitely additive measures. (English) Zbl 0516.28001

Bhaskara Rao, K. P. S.; Bhaskara Rao, M.

Pure and Applied Mathematics, 109. London etc.: Academic Press, a Subsidiary of Harcourt Brace Jovanovich, Publishers. X, 315 p. (1983).

MSC:

28-02	Research exposition (monographs, survey articles) pertaining to measure and integration
28Axx	Classical measure theory
46E27	Spaces of measures
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

Boolean algebra; pure charge; nonatomic charges; absolute continuity; Vp-spaces; Nikodym theorem; weak convergence; Vitali-Hahn-Saks theorem; refinement integral; Stone representation theorem; Riesz decomposition theorem; space of bounded charges; integration of real functions with respect to a charge; hazy convergence; D-integral; Sobczyk-Hammer decomposition; Yosida-Hewitt decomposition; lifting