Radon-Nikodym theorems for nonnegative forms, measures and representable functionals
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🧮 math.FA
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theoremsadditiveformsfunctionalsmeasuresnonnegativeradon--nikodymrepresentable
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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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