Overview: .In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space .L.p.(X,L,λ)*with .L.q.(X,L,λ), where 1/p+1/q=1, as long as 1 ≤ p<∞. However, .L.∞.(X,L,λ)* cannot be similarly described, and is instead represented as a class of finitely additive measures..This book provides a reasonably elementary account of the representation theory of .L.∞.(X,L,λ)*, examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in .L.∞.(X,L,λ) to be weakly convergent, applica
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