Norm Estimates for the Difference between Bochner’s Integral and the Convex Combination of Function’s Values
نویسندگان
چکیده
A Banach spaceX with the property that every absolutely continuousX−valued function is almost everywhere differentiable is said to be a Radon-Nikodym space [7, pp. 217–219] or [2, 13] (see also [3]). For example, every reflexive Banach space (in particular, every Hilbert space) is a Radon-Nikodym space, but the space L∞ [0, 1] of all K−valued, essentially bounded functions defined on the interval [0, 1], endowed with the norm
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