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arXiv · 1403.5891

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

Zsigmond Tarcsay
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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, $σ$-additive and finitely additive measures.

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Zsigmond Tarcsay. 2014-04-17. Radon-Nikodym theorems for nonnegative forms, measures and representable functionals. https://arxiv.org/abs/1403.5891

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