Results 1 to 10 of about 706 (161)

A uniformly convex hereditarily indecomposable banach space [PDF]

Israel Journal of Mathematics, 1997
A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
Valentin Ferenczi
exaly   +5 more sources

A universal reflexive space for the class of uniformly convex Banach spaces [PDF]

Mathematische Annalen, 2006
We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block $q$-Hilbertian and/or a block $p$-Besselian ...
Thomas Schlumprecht, E Odell, Schlumprecht Th   +2 more
exaly   +4 more sources

The locally k-uniformly extremely convex and midpoint locally k-uniformly extremely convex Banach spaces

Indian Journal of Pure and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suyalatu Wulede
exaly   +2 more sources

The alternating algorithm in a uniformly convex and uniformly smooth Banach space

Journal of Mathematical Analysis and Applications, 2015
Let \(X\) be a uniformly convex Banach space and \(C\) a closed convex subset of \(X\). It is very well known that there exists a unique best approximation from \(C\), denoted by \(P_{C}(x),\) of every vector \(x\in X\). If you assume that \(M_{k}\), \(k=1, 2, \dots, r,\) are closed linear subspaces of a uniformly convex and uniformly smooth Banach ...
Allan Pinkus
exaly   +3 more sources

Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces

Journal of Function Spaces
We apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on (ε, p) isometries of Hilbert spaces and Lq spaces.
Yuqi Sun
exaly   +3 more sources

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

A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]

Journal of Function Spaces, 2016
We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no ...
Suyalatu Wulede, Wurichaihu Bai, Wurina Bao   +2 more
openaire   +2 more sources

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
doaj   +1 more source

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

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
doaj   +1 more source