On the Radon-Nikodým theorem and locally convex spaces with the Radon-Nikodým property
On the Radon-Nikodým theorem and locally convex spaces with the Radon-Nikodým property
Let <italic>F</italic> be a quasi-complete locally convex space, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis normal upper Omega comma normal upper Sigma comma mu right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi mathvariant="normal">Ω</mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant="normal">Σ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>μ</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(\Omega ,\Sigma ,\mu )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> a complete probability space, and …