Results 291 to 300 of about 177,533 (329)

On nearly uniformly convex and k-uniformly convex spaces

Mathematical Proceedings of the Cambridge Philosophical Society, 1984
AbstractIn this note we prove that every nearly uniformly convex space has normal structure and that K-uniformly convex spaces are super-reflexive.We recall [1] that a Banach space is said to be Kadec–Klee if whenever xn → x weakly and ∥n∥ = ∥x∥ = 1 for all n then ∥xn −x∥ → 0.
Istrăţescu, V. I., Partington, J. R.
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Uniformly Strongly Convex Banach Spaces

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shunmugaraj, P., Zălinescu, Constantin
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Uniformly convex Banach spaces are reflexive—constructively

Mathematical Logic Quarterly, 2013
We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the Milman‐Pettis theorem that uniformly convex Banach spaces are reflexive.
Douglas S. Bridges, Hajime Ishihara, Maarten McKubre-Jordens   +2 more
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BASES IN UNIFORMLY CONVEX AND UNIFORMLY FLATTENED BANACH SPACES

Mathematics of the USSR-Izvestiya, 1971
The aim of this article is to obtain two-sided estimates for the norm of an element x in a uniformly convex and uniformly flattened Banach space E in terms of lp-norms of the sequence of coefficients which occur in the expansion of x in a basis .
Gurarij, V. I., Gurarij, N. I.
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The Alternating Algorithm in Uniformly Convex Spaces

Journal of the London Mathematical Society, 1984
Let X be a real Banach space and let U,V be two proximinal subspaces of X with proximinal maps \(P_ u,P_ v\) respectively. The sequence \(\{K^ n\}\), where \(K=(I-P_ v)(I-P_ U)\), defines the alternating algorithm. The space X is said to admit the alternating algorithm if for every triple (x,U,V) \(K^ nx\) converges to a point of the form x-w, where w ...
Franchetti, C., Light, W.
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Uniformly smooth renormings of uniformly convex Banach spaces

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 135, 120-134 (Russian) (1984; Zbl 0538.46014).
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Convex feasibility problems on uniformly convex metric spaces

Optimization Methods and Software, 2018
In this paper, we extend two important notions, weighted average method and Mann's iterative method, in the study of convex feasibility problem for general maps defined on p-uniformly convex metric...
Byoung Jin Choi, Un Cig Ji, Yongdo Lim
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Uniformly Convex Sets in Banach Spaces

Mathematical Notes
For a normed space \(X\) and for two equivalent asymmetric norms \(\mu_U\), \(\mu_V\) on \(X\) generated by asymmetric unit balls \(U\) and \(V\) respectively, the author introduces and studies the following modulus of convexity of a set \(C \subset X\): \[ \delta_{C,U,V}(\varepsilon)=\inf\left\{\mu_U\left(z-\frac{x+y}{2}\right): x,y \in C, z \in X ...
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MARTINGALE REPRESENTATION IN NEARLY UNIFORMLY CONVEX SPACES

Acta Mathematica Scientia, 1995
Summary: We give a martingale representation in nearly uniformly convex Banach spaces. Our result generalizes the representation theorem established by \textit{D. Landers} and \textit{L. Rogge} [Proc. Am. Math. Soc. 75, No. 1, 108-110 (1979; Zbl 0403.60046)].
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Hadamard–Landau inequalities in uniformly convex spaces

Mathematical Proceedings of the Cambridge Philosophical Society, 1981
The inequalityfor fεLp(− ∞, ∞)or Lp(0, ∞) (1≤p ≤ ∞), and its extensionfor T an Hermitian or dissipative linear operator, in general unbounded, on a Banach space X, for xεX, have been considered by many authors. In particular, forms of inequality (1) have been given by Hadamard(7), Landau(15), and Hardy and Little-wood(8),(9).
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