Results 51 to 60 of about 31,296 (239)
A universal reflexive space for the class of uniformly convex Banach spaces [PDF]
Mathematische Annalen, 2006 We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block $q$-Hilbertian and/or a block $p$-Besselian ...
Th. Schlumprecht, Edward Odell
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Uniformly convex operators and martingale type
, 2002 The concept of uniform convexity of a Banach space was generalized to linear operators between Banach spaces and studied by Beauzamy [1976]. Under this generalization, a Banach space X is uniformly convex if and only if its identity map I_X is.
Wenzel, J
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Manifolds of semi-negative curvature
, 2008 The notion of nonpositive curvature in Alexandrov's sense is extended to include p-uniformly convex Banach spaces. Infinite dimensional manifolds of semi-negative curvature with a p-uniformly convex tangent norm fall in this class on nonpositively curved
Conde, Cristian, Larotonda, Gabriel
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Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction
, 2012 We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H +12 more
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, EarlyView.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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Optimal Control Applications and Methods, EarlyView.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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Abstract and Applied Analysis, 2013 We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng +2 more
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Banach Spaces Which Are Dual tok-Uniformly Convex Spaces
Journal of Mathematical Analysis and Applications, 1997 The authors find a characterization of the property dual to \(k\)-uniform convexity and call it \(k\)-uniform smoothness. A slight modification of a modulus defined by \textit{V. D. Mil'man} [Russian Math. Surveys 26 (1971), No. 6, 79-163 (1972; Zbl 0238.46012); translation from Usp. Mat. Nauk 26, No.
MALUTA, ELISABETTA, PRUS S.
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Oscillation and the mean ergodic theorem for uniformly convex Banach spaces [PDF]
Ergodic Theory and Dynamical Systems, 2014 AbstractLet $ \mathbb{B} $ be a $p$-uniformly convex Banach space, with $p\geq 2$. Let $T$ be a linear operator on $ \mathbb{B} $, and let ${A}_{n} x$ denote the ergodic average $(1/ n){\mathop{\sum }\nolimits}_{i\lt n} {T}^{n} x$. We prove the following variational inequality in the case where $T$ is power bounded from above and below: for any ...
Jeremy Avigad, Jason Rute
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Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]
, 2017 We construct finitely generated groups with arbitrary prescribed Hilbert space compression α ∈ [0, 1]. This answers a question of E. Guentner and G. Niblo.
Arzhantseva, Goulnara +2 more
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