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

Citations:

Zbl 0085.040; Zbl 0438.28008; Zbl 0498.28001; Zbl 0354.28013; Zbl 0458.28011; Zbl 0495.28015; Zbl 0403.28003; Zbl 0371.54069; Zbl 0406.28002; Zbl 0435.46023; Zbl 0023.39701; Zbl 0272.60001; Zbl 0243.28002; Zbl 0292.54001; Zbl 0339.28002; Zbl 0485.28004; Zbl 0279.28007; Zbl 0225.46030