A reformulation of the Radon-Nikodým theorem
A reformulation of the Radon-Nikodým theorem
The Radon-Nikodym theorems of Segal and Zaanen are principally concerned with the classification of those measures <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="mu"> <mml:semantics> <mml:mi>μ<!-- μ --></mml:mi> <mml:annotation encoding="application/x-tex">\mu</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for which any <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="lamda much-less-than mu"> <mml:semantics> <mml:mrow> <mml:mi>λ<!-- λ --></mml:mi> <mml:mo>≪<!-- ≪ --></mml:mo> <mml:mi>μ<!-- μ …