Radon-Nikodym theorems for nonnegative forms, measures and representable functionals
Functional Analysis
2014-04-18 v2
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, -additive and finitely additive measures.
Cite
@article{arxiv.1403.5891,
title = {Radon-Nikodym theorems for nonnegative forms, measures and representable functionals},
author = {Zsigmond Tarcsay},
journal= {arXiv preprint arXiv:1403.5891},
year = {2014}
}