Geometry of Banach Space (Radon Nikodym)

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I read in David Williams, Probability with martingale : "The right context for appreciating the close inter-relations between martingale convergence, conditional expectation, the Radon-Nikodym theorem, ect. is the geometry of Banach Spaces."

Does anyone have a introduction to this topics please ? I'm curious to see what's th meaning of that !

Have a good day!