The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence: A Primer by John TolandEnglish | PDF,EPUB | 2020 | 104 Pages | ISBN : 3030347311 | 12.95 MB
In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,λ)* with Lq(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.