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Smoothness of the distribution of the norm in uniformly convex Banach spaces

Journal of Theoretical Probability, 1990
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.
Michał Ryznar, Tomasz Byczkowski
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Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2013
Abstract Let X be a uniformly convex and uniformly smooth Banach space. Let T : C → C be an asymptotic pointwise nonexpansive mapping, where C is a bounded, closed and convex subset of X . In this paper we investigate conditions sufficient for the weak convergence of the generalized Mann and Ishikawa processes to a fixed ...
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Farthest points of sets in uniformly convex banach spaces

Israel Journal of Mathematics, 1966
LetS be a closed and bounded set in a uniformly convex Banach spaceX. It is shown that the set of all points inX which have a farthest point inS is dense. Letb(S) denote the set of all farthest points ofS, then a sufficient condition for $$\overline {co} S = \overline {co} b(S)
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An estimate for the type of a complexly uniformly convex Banach space [PDF]

open access: possibleMathematical Notes of the Academy of Sciences of the USSR, 1985
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