Vector measures. (English) Zbl 0369.46039

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


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