Abstract
Let (E, ‖ · ‖) be a uniformly convex Banach space of power type. In this paper we investigate differentiability properties of the distribution function of the norm of a random series with one-dimensional independent components inE.
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Byczkowski, T., Ryznar, M. Smoothness of the distribution of the norm in uniformly convex Banach spaces. J Theor Probab 3, 433–448 (1990). https://doi.org/10.1007/BF01061261
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DOI: https://doi.org/10.1007/BF01061261