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

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.

Cited by in corpus (1)

• Positive Definite Operator Functions and Sesquilinear Forms