Definition
If (X, Σ) is a measurable space and B is a Banach space over a field K (usually the real numbers R or complex numbers C), then f : X → B is said to be weakly measurable if, for every continuous linear functional g : B → K, the function
is a measurable function with respect to Σ and the usual Borel σ-algebra on K.
Read more about this topic: Weakly Measurable Function
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