Results 181 to 190 of about 14,582 (219)

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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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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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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Locally Uniformly Quasi-Convex Programming

SIAM Journal on Applied Mathematics, 1975
If X is a convex subset of a locally convex Hausdorif topological vector space $( {E,\tau } )$ and f is a real-valued $\tau $-l.s.c. quasi-convex functional on X, then f is also weakly l.s.c. on X and thus attains its infimum on X whenever X is weakly compact.
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Uniformly and Locally Convex Asymmetric Spaces

Russian Journal of Mathematical Physics, 2022
The author continues his investigation of uniform and local uniform convexity in asymmetric normed spaces initiated in [\textit{I. G. Tsar'kov}, Math. Notes 110, No. 5, 773--783 (2021; Zbl 1489.46022); translation from Mat. Zametki 110, No. 5, 773--785 (2021)].
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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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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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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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Constructions of Uniformly Convex Functions

Canadian Mathematical Bulletin, 2012
AbstractWe give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type. The results are dualized to study uniform smoothness and several examples are provided.
Borwein, Jonathan M., Vanderwerff, Jon
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$��$-asymptotically uniformly smooth, $��$-asymptotically uniformly convex, and $(��)$ operators

2016
For each ordinal $ $, we define the notions of $ $-asymptotically uniformly smooth and $w^*$-$ $-asymptotically uniformly convex operators. When $ =0$, these extend the notions of asymptotically uniformly smooth and $w^*$-asymptotically uniformly convex Banach spaces. We give a complete description of renorming results for these properties in terms
Causey, Ryan M., Dilworth, Stephen J.
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