Results 11 to 20 of about 31,974 (245)

Interpolation of Uniformly Convex Banach Spaces [PDF]

open access: yesProceedings 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 ,
Cwikel, Michael, Reisner, Shlomo
openaire   +1 more source

Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm

open access: yesJournal 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

The generalized projection methods in countably normed spaces

open access: yesJournal 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
doaj   +1 more source

Convergence Theorems for an Iteration of Non-Lipschitzian Nonself Mappings in Banach Spaces

open access: yesNantong 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

Uniformly convex functions on Banach spaces [PDF]

open access: yesProceedings 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, Jonathan M.   +3 more
openaire   +5 more sources

Fixed points and common points for fundamentally nonexpansive mappings on banach spaces [PDF]

open access: yesJournal of Hyperstructures, 2015
In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact ...
Moohammad Moosaei
doaj   +1 more source

El espacio cociente y algunas propiedades geométricas de los espacios de Banach

open access: yesRevista 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
doaj   +1 more source

Remarks on a recent paper titled: “On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces”

open access: yesJournal 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
doaj   +1 more source

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]

open access: yes, 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
core   +2 more sources

Some strongly bounded classes of Banach spaces [PDF]

open access: yes, 2006
We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th.
Dodos, Pandelis, Ferenczi, Valentin
core   +1 more source

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