Results 251 to 260 of about 1,628,973 (292)

Uniform smoothness vs uniform convexity

2018
AbstractThe aim of the chapter is to present duality between uniform convexity and uniform smoothness. Lindenstrauss formulas relating moduli of convexity and smoothness are discussed as the main tool. A section deals with the notion of noncreasy and uniformly noncreasy spaces.
Kazimierz Goebel, Stanisław Prus
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k-Uniform rotundity is equivalent to k-uniform convexity

Bulletin des Sciences Mathématiques, 2018
R. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convexity. Pei-Kee Lin extended this result for any integer k ≥ 1 .
W. Ramasinghe
semanticscholar   +1 more source

Complex Uniform Convexity and Riesz Measures

Canadian Journal of Mathematics, 2004
AbstractThe norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for LebesgueLpspaces and the von Neumann-Schatten trace ideals.
Blower, G., Ransford, T.
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Simple Proofs of the Uniform Convexity of Lp and the Riesz Representation Theorem for Lp

The American mathematical monthly, 2018
We give elementary and self-contained proofs of the facts that the Lp space with is uniformly convex and its dual space is isometrically isomorphic to .
N. Shioji
semanticscholar   +1 more source

Strict and uniform convexity

2018
AbstractWays to classify and measure convexity of balls are described. Properties like strict convexity, uniform convexity, and squareness are discussed. The main tool, the modulus of convexity of a space, is studied. In the case of uniformly convex spaces, nearest point projections and asymptotic centres of sequences are presented.
Kazimierz Goebel, Stanisław Prus
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Nearly Uniform Convexity and Nearly Uniform Smoothness

1997
Reflexivity and the uniform Kadec-Klee property are among the most important properties of k-uniformly convex spaces. The study of spaces satisfying both properties was initiated by Huff in 1980 [Hu] who called these spaces nearly uniformly convex.
J. M. Ayerbe Toledano, T. Domínguez Benavides, G. López Acedo   +2 more
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Automatic continuity: subadditivity, convexity, uniformity

Aequationes mathematicae, 2009
We examine various related instances of automatic properties of functions – that is, cases where a weaker property necessarily implies a stronger one under suitable side-conditions, e.g. connecting geometric and combinatorial features of their domains. The side-conditions offer a common approach to (mid-point) convex, subadditive and regularly varying ...
N. H. Bingham, A. J. Ostaszewski
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Existence Theorem for Geometrically Nonlinear Cosserat Micropolar Model Under Uniform Convexity Requirements

, 2014
We reconsider the geometrically nonlinear Cosserat model for a uniformly convex elastic energy and write the equilibrium system as a minimization problem. Applying the direct methods of the calculus of variations we show the existence of minimizers.
P. Neff, M. Bîrsan, Frank Osterbrink
semanticscholar   +1 more source

Uniform convexity of unitary ideals

Israel Journal of Mathematics, 1984
If E is a symmetric Banach sequence space which is q-concave with the constant equal to 1 (where \(2\leq ...
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Radii of Uniform Convexity of Lommel and Struve Functions

Bulletin of the Iranian Mathematical Society, 2020
E. Deniz, S. Kazımoğlu, M. Çağlar
semanticscholar   +1 more source