Results 211 to 220 of about 31,974 (245)

BASES IN UNIFORMLY CONVEX AND UNIFORMLY FLATTENED BANACH SPACES

Mathematics of the USSR-Izvestiya, 1971
The aim of this article is to obtain two-sided estimates for the norm of an element x in a uniformly convex and uniformly flattened Banach space E in terms of lp-norms of the sequence of coefficients which occur in the expansion of x in a basis .
Gurarij, V. I., Gurarij, N. I.
openaire   +2 more sources

Uniformly Strongly Convex Banach Spaces

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shunmugaraj, P., Zălinescu, Constantin
openaire   +2 more sources

Uniformly smooth renormings of uniformly convex Banach spaces

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 135, 120-134 (Russian) (1984; Zbl 0538.46014).
openaire   +2 more sources

On nearly uniformly convex Banach spaces

Mathematical Proceedings of the Cambridge Philosophical Society, 1983
A real Banach space (X, ‖ · ‖) is said to be uniformly convex (UC) (or uniformly rotund) if for all ∈ > 0 there is a δ > 0 such that if ‖x| ≤ 1, ‖y‖ ≤ 1 and ‖x−y‖ ≥ ∈, then ‖(x + y)/2‖ ≤ 1− δ.
openaire   +2 more sources

Uniformly Convex Sets in Banach Spaces

Mathematical Notes
For a normed space \(X\) and for two equivalent asymmetric norms \(\mu_U\), \(\mu_V\) on \(X\) generated by asymmetric unit balls \(U\) and \(V\) respectively, the author introduces and studies the following modulus of convexity of a set \(C \subset X\): \[ \delta_{C,U,V}(\varepsilon)=\inf\left\{\mu_U\left(z-\frac{x+y}{2}\right): x,y \in C, z \in X ...
openaire   +2 more sources

Nonexpansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

gmj, 2002
Abstract In this paper, most of classical and modern convergence theorems of iterative schemes for nonexpansive mappings are presented and the main results in the paper generalize and improve the corresponding results given by many authors.
Zhou, Haiyun, Agarwal, Ravi P., Cho, Yeol Je, Kim, Yong Soo   +3 more
openaire   +2 more sources

Positivity principle for measures on uniformly convex Banach spaces

St. Petersburg Mathematical Journal, 2022
A Banach space X X is said to satisfy the positivity principle for small balls if for every finite Borel measures μ \mu and ν \nu on X X , the inequalities μ ( B ) ≤ ν ( B ) \mu (B) \leq \nu (B) for all ...
openaire   +2 more sources

Farthest points of sets in uniformly convex banach spaces

Israel Journal of Mathematics, 1966
LetS be a closed and bounded set in a uniformly convex Banach spaceX. It is shown that the set of all points inX which have a farthest point inS is dense. Letb(S) denote the set of all farthest points ofS, then a sufficient condition for $$\overline {co} S = \overline {co} b(S)
openaire   +1 more source

On embedding trees into uniformly convex Banach spaces

Israel Journal of Mathematics, 1999
The author deals with an investigation into the minimum value of \(D= D(n)\) such that any \(n\)-point tree metric space \((T,\rho)\) can be \(D\)-embedded into a given Banach space \((X,\|\cdot\|)\); i.e., there exists a mapping \(f: T\to X\) such that \(D^{-1}\rho(x,y)\leq\|f(x)- f(y)\|\leq \rho(x,y)\) for all \(x,y\in T\). Bourgain showed that \(X\)
openaire   +2 more sources

Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2013
Let \(C\) be a bounded, closed and convex subset of a uniformly convex and uniformly smooth Banach space. Using some typical assumptions, the author shows that the generalized Mann and Ishikawa iterations converge weakly to a fixed point of an asymptotic pointwise nonexpansive map \(T\) from \(C\) to itself.
openaire   +2 more sources