Results 21 to 30 of about 604,834 (284)

Bounded cohomology with coefficients in uniformly convex Banach spaces [PDF]

, 2013
We show that for acylindrically hyperbolic groups $\Gamma$ (with no nontrivial finite normal subgroups) and arbitrary unitary representation $\rho$ of $\Gamma$ in a (nonzero) uniformly convex Banach space the vector space $H^2_b(\Gamma;\rho)$ is infinite
Mladen Bestvina, Kenneth Bromberg, Koji Fujiwara   +2 more
openalex   +3 more sources

ON UNIFORMLY CONVEX AND UNIFORMLY 2-CONVEX 2-NORMED SPACES [PDF]

Demonstratio Mathematica, 1992
C.-S. Lin
openalex   +3 more sources

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, Olivera Djordjević, Miroslav Pavlović   +2 more
openalex   +4 more sources

Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$ [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures.
D. Wachsmuth, G. Wachsmuth
semanticscholar   +1 more source

A proof that every uniformly convex space is reflexive

Duke Mathematical Journal, 1939
B. Pettis
semanticscholar   +4 more sources

Multi-step iterative algorithm for minimization and fixed point problems in p-uniformly convex metric spaces

Journal of Industrial and Management Optimization, 2021
In this paper, we propose and study a multi-step iterative algorithm that comprises of a finite family of asymptotically \begin{document}$ k_i $\end{document} -strictly pseudocontractive mappings with respect to \begin{document}$ p, $\end{document} and a
K. Aremu, C. Izuchukwu, G. Ogwo, O. Mewomo   +3 more
semanticscholar   +1 more source

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
doaj   +1 more source

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., Guirao Sánchez, Antonio José, Hajek, P., Vanderwerff, Jon   +3 more
openaire   +4 more sources

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, Nashat Faried, H. A. El-Sharkawy   +2 more
doaj   +1 more source

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
openaire   +2 more sources