Ba space

Let B(Σ) be the space of bounded Σ-measurable functions, equipped with the uniform norm. Then ba(Σ) = B(Σ)* is the continuous dual space of B(Σ). This is due to {harvtxt|Hildebrandt|1934} and {harvtxt|Fichtenholtz|Kantorovich|1934}. This is a kind of Riesz representation theorem which allows for a measure to be represented as a linear functio
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