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Radon-Nikodym theorems for nonnegative forms, measures and representable functionals

Published 24 Mar 2014 in math.FA | (1403.5891v2)

Abstract: The aim of this note is to establish two Radon--Nikodym type theorems for nonnegative Hermitian forms defined on a real or complex vector space. We apply these results to prove the known Radon--Nikodym theorems of the theory of representable positive functionals, $\sigma$-additive and finitely additive measures.

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