## Vector measures.(English)Zbl 0369.46039

Mathematical Surveys. No. 15. Providence, R.I.: American Mathematical Society (AMS). XIII, 322 p. \$ 35.60 (1977).

### MathOverflow Questions:

Takesaki proposition 7.4 chapter 4 volume I

### MSC:

 46G10 Vector-valued measures and integration 28B05 Vector-valued set functions, measures and integrals 28A15 Abstract differentiation theory, differentiation of set functions 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 46B10 Duality and reflexivity in normed linear and Banach spaces 46B99 Normed linear spaces and Banach spaces; Banach lattices 46E15 Banach spaces of continuous, differentiable or analytic functions 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46G05 Derivatives of functions in infinite-dimensional spaces 47A65 Structure theory of linear operators 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.) 47B99 Special classes of linear operators