Results 1 to 10 of about 496,441 (252)
Locally Uniformly Convex Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1955 which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed.
A. R. Lovaglia
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Fixed Point Theorems in Uniformly Convex Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1974 The notion of an asymptotic center is used to prove a number of results concerning the existence of fixed points under certain selfmappings of a closed and bounded convex subset of a uniformly convex Banach space.
Michael Edelstein
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Locally uniformly convex norms in Banach spaces and their duals [PDF]
arXiv, 2006 It is shown that a Banach space with locally uniformly convex dual admits an equivalent norm which is itself locally uniformly convex. It follows that on any such space all continuous real-valued functions may be uniformly approximated by C^1 functions.
Richard Haydon
arxiv +7 more sources
Bounded cohomology with coefficients in uniformly convex Banach spaces [PDF]
Commentarii Mathematici Helvetici, 2013 We show that for acylindrically hyperbolic groups $\Gamma$ (with no nontrivial finite normal subgroups) and arbitrary unitary representation $\rho$ of $\Gamma$ in a (nonzero) uniformly convex Banach space the vector space $H^2_b(\Gamma;\rho)$ is infinite
Mladen Bestvina +2 more
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Interpolation of uniformly convex Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1982 If AO and A1 are a compatible couple of Banach spaces, one of which is uniformly convex, then the complex interpolation spaces [AO, Aj]0I are also uniformly convex for 0 0 and equivalent to AA near 0).
Michael Ćwikel, Shlomo Reisner
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Separated sequences in uniformly convex Banach spaces [PDF]
Colloq. Math. 102 (2005), 147-153, 2005 We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $\delta$ contains a $(1+\frac12\delta(\frac23))$-separated sequence.
J. Neerven
arxiv +8 more sources
A uniformly convex hereditarily indecomposable Banach space [PDF]
arXiv, 1995 A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
V. Ferenczi
arxiv +7 more sources
On set correspondences into uniformly convex Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1972 It is proved that the values of a set-valued set function, the total variation of which is an atomless finite measure, are conditionally convex. Let E be a nonempty o-field of subsets of a set S.
David Schmeidler
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A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces [PDF]
arXiv, 2008 We provide an explicit uniform bound on the local stability of ergodic averages in uniformly convex Banach spaces. Our result can also be viewed as a finitary version in the sense of T. Tao of the Mean Ergodic Theorem for such spaces and so generalizes similar results obtained for Hilbert spaces by Avigad, Gerhardy and Towsner (arXiv:0706.1512v2 [math ...
Ulrich Kohlenbach, Laurenţiu Leuştean
arxiv +7 more sources
The law of the iterated logarithm in uniformly convex Banach spaces [PDF]
Transactions of the American Mathematical Society, 1986 We give necessary and sufficient conditions for a random vari- able X with values in a uniformly convex Banach space B to satisfy the law of the iterated logarithm. Precisely, we show that a B-valued random vari- able X satisfies the (compact) law of the
Michel Ledoux
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