1 min read

Linear representation of integral

Linear representaion of integral

Riesz Representation Theorem one of measure property

\(\Lambda f = \int f\) \(du\) \(for\) \(every\) \(f \in C_c (X)\)

\(f = \Sigma_1^nC_i1_{E_i}(x)\)

\(\Lambda f = \Sigma_1^nC_i1_{E_i}(x) \mu(E_i) = \int f du\)

\(\Lambda = vector(\mu(E_i))\)