Resumen de The bartle-dunford-schwartz integral VI: complements to the thomas theory of radon integration
This chapter consists of Sections 25-30. In Section 25 we briefly indicate how the results in §1 of [T] can be extended to complex functions in K(T). Section 26 is devoted to integration with respect to a bounded weakly compact Radon operator, improving the complex versions of Theorems 2.2, 2.7, 2.12 and 2.7 bis and Proposition 2.5 of [T]. In Section 27, integration with respect to a prolongable Radon operator is studied, improving the complex versions of Theorems 3.3, 3.4, 3.11 and 3.20 of [T]. Section 28 is devoted to the complex Baire versions of Proposition 4.8 and Theorem 4.9 of [T]. The results of [P4] are generalized to vector measures in Section 29, while in Section 30, it is shown that Lp(u) is the same as Lp(mu) for 1 = p < 8 when u is a bounded weakly compact Radon operator on K(T) and L1(u) is the same as L1(mu) when u is a prolongable Radon operator on K(T).
