Properties of Functions on a Bounded Charge Space

Abstract

A charge space (X, 𝒜, µ) is a generalisation of a measure space, consisting of a sample space X, a field of subsets 𝒜 and a finitely additive measure µ, also known as a charge. Properties a real-valued function on X may possess include T1-measurability and integrability. However, these properties are less well studied than their measure-theoretic counterparts.

Keywords

• finitely additive measure
• t1-measurability
• lp space
• banach space
• complete measure space
• peano-jordan completion
• 28a20
• 28a25
• 46e30