Results 11 to 20 of about 620,212 (229)
Some uniformly convex spaces [PDF]
Bulletin of the American Mathematical Society, 1940 R. P. Boas
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ON UNIFORMLY CONVEX AND UNIFORMLY 2-CONVEX 2-NORMED SPACES [PDF]
Demonstratio Mathematica, 1992 C.-S. Lin
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Littlewood–Paley inequalities in uniformly convex and uniformly smooth Banach spaces
Journal of Mathematical Analysis and Applications, 2007 Abstract It is proved that the inequality δ X ( e ) ⩾ c e p , p ⩾ 2 , where δ X is the modulus of convexity of X, is sufficient and necessary for the inequality ∫ D ‖ ∇ f ( z ) ‖ p ( 1 − | z | ) p − 1 d A ( z ) ⩽ C ( ‖ f ‖ p , X p − ‖ f ( 0 ) ‖ p ) ,
Karen Avetisyan +2 more
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Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]
Bulletin of the American Mathematical Society, 1941 Mahlon M. Day
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Fixed point theorems in uniformly convex Banach spaces
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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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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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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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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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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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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