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The Dual of L8(X,L,?), Finitely Additive Measures and Weak Convergence

John Toland

In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,?)* with Lq(X,L,?), where 1/p+1/q=1, as long as 1 = p<8. However, L8(X,L,?)* cannot be similarly described, and is instead represented as a class of finitely...

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