Results 11 to 20 of about 173,242 (326)
Interpolation of Uniformly Convex Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1982 If A 0 {A_0} and A 1 {A_1} are a compatible couple of Banach spaces, one of which is uniformly convex, then the complex interpolation spaces [ A 0 ,
Shlomo Reisner, Michael Cwikel
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The generalized projection methods in countably normed spaces
Journal of Inequalities and Applications, 2021 Let E be a Banach space with dual space E ∗ $E^{*}$ , and let K be a nonempty, closed, and convex subset of E. We generalize the concept of generalized projection operator “ Π K : E → K $\Pi _{K}: E \rightarrow K$ ” from uniformly convex uniformly smooth
Sarah Tawfeek +2 more
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Martingale representation in uniformly convex spaces [PDF]
Proceedings of the American Mathematical Society, 1979 In this paper we define the concept of a martingale in a uniformly convex Banach space and show that each bounded martingale is convergent and can be represented as a sequence of nearest point projections onto closed convex sets of one element of the Banach space.
D. Landers, L. Rogge
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Convergence Theorems for an Iteration of Non-Lipschitzian Nonself Mappings in Banach Spaces
Nantong Daxue xuebao. Ziran kexue ban, 2021 In this study,a new iteration with errors for non-Lipschitzian nonself mappings in the uniformly convex Banach space is introduced.The convergence of such iteration is investigated and which proves that if the uniformly convex Banach space X satisfies ...
WU Li; YANG Hongli
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Uniformly convex functions on Banach spaces [PDF]
Proceedings of the American Mathematical Society, 2008 [EN] Given a Banach space (X,k · k), we study the connection between uniformly convex functions f : X ¿ R bounded above by k · kp , and the existence of norms on X with moduli of convexity of power type. In particular, we show that there exists a uniformly convex function f : X ¿ R bounded above by k · k2 if and only if X admits an equivalent norm with
Borwein, J. +3 more
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El espacio cociente y algunas propiedades geométricas de los espacios de Banach
Revista de Matemática: Teoría y Aplicaciones, 2009 We state some geometric properties of Banach spaces, such as uniformly convex spaces, uniformly non-square spaces, local uniformly convex spaces, strictly convex spaces, etc., and we analyze the problem of translating such properties to the quotient ...
Jose R. Morales
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Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
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Uniformly Convex Metric Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2014 Abstract In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit ageneralized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simpleproof of reflexivity is presented and a weak topology of such spaces is analyzed.
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Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]
, 2008 We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides ...
Arzhantseva, Goulnara +2 more
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Journal of Inequalities and Applications, 2021 In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl.
C. E. Chidume
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