Add to ORKG* Supported by NSERC (Canada)Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux differentiable at x if for every h ∈ SX(|| · ||), (∗) lim t→0 (||x + th|| − ||x||) / t exists. We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable at all x ∈ SX(|| · ||)
AbstractSuppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E ...
AbstractIn this paper, we prove that the moduli of W∗-convexity, introduced by Ji Gao [J. Gao, The W...
We study a convergence result of Bourgain--Brezis--Mironescu (BBM) using Triebel-Lizorkin spaces. It...
summary:Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an ...
summary:Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an ...
summary:It is shown that every strongly lattice norm on $c_0(\Gamma)$ can be approximated by $C^\inf...
summary:It is shown that every strongly lattice norm on $c_0(\Gamma)$ can be approximated by $C^\inf...
AbstractLet X be a Banach space whose norm is simultaneously LUR and Gateaux (Fréchet) smooth. Under...
AbstractIn this work, for an arbitrary sequence space we construct a sequence space with elements in...
AbstractWe establish decompositions of a uniformly convex and uniformly smooth Banach space B and du...
AbstractThe purpose of this paper is to study the iterative methods for constructing fixed points of...
We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for...
AbstractWe prove an infinite-dimensional generalization of Zengerʼs lemma that was used in the proof...
[EN] Saxon-Wilansky's paper "The equivalence of some Banach space problems" contains six properties ...
AbstractLet C[0, 1] be the space of all continuous functions defined on [0, 1] and U be an n dimensi...
AbstractSuppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E ...
AbstractIn this paper, we prove that the moduli of W∗-convexity, introduced by Ji Gao [J. Gao, The W...
We study a convergence result of Bourgain--Brezis--Mironescu (BBM) using Triebel-Lizorkin spaces. It...
summary:Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an ...
summary:Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an ...
summary:It is shown that every strongly lattice norm on $c_0(\Gamma)$ can be approximated by $C^\inf...
summary:It is shown that every strongly lattice norm on $c_0(\Gamma)$ can be approximated by $C^\inf...
AbstractLet X be a Banach space whose norm is simultaneously LUR and Gateaux (Fréchet) smooth. Under...
AbstractIn this work, for an arbitrary sequence space we construct a sequence space with elements in...
AbstractWe establish decompositions of a uniformly convex and uniformly smooth Banach space B and du...
AbstractThe purpose of this paper is to study the iterative methods for constructing fixed points of...
We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for...
AbstractWe prove an infinite-dimensional generalization of Zengerʼs lemma that was used in the proof...
[EN] Saxon-Wilansky's paper "The equivalence of some Banach space problems" contains six properties ...
AbstractLet C[0, 1] be the space of all continuous functions defined on [0, 1] and U be an n dimensi...
AbstractSuppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E ...
AbstractIn this paper, we prove that the moduli of W∗-convexity, introduced by Ji Gao [J. Gao, The W...
We study a convergence result of Bourgain--Brezis--Mironescu (BBM) using Triebel-Lizorkin spaces. It...