Add to ORKGThis paper deals with the interplay of the geometry of the norm and the weak topology in Banach spaces. Both dual and intrinsic connections between weak forms of rotundity and smoothness are discussed. Weakly locally uniformly rotund spaces, !-exposed points, smoothness, duality and the interplay of all the above are studied
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
summary:Every separable nonreflexive Banach space admits an equivalent norm such that the set of the...
AbstractOn every real Banach space X we introduce a locally convex topology τP, canonically associat...
Zizler∗ Two smoothness characterizations of weakly compact sets in Ba-nach spaces are given. One tha...
AbstractWe show that every normed spaceEwith a weakly locally uniformly rotund norm has an equivalen...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
We investigate under which conditions weak polynomial or weak analytic topology (*-weakpolynomial or...
AbstractWe give characterizations of weakly compactly generated spaces, their subspaces, Vašák space...
AbstractUsing the M-structure theory, we show that several classical function spaces and spaces of o...
AbstractLet T be the class of Banach spaces E for which every weakly continuous mapping from an α-fa...
AbstractThe dual X∗ of a Banach space X admits a dual σ-LUR norm if (and only if) X∗ admits a σ-weak...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
AbstractWe prove that a dual Banach space X∗ has an equivalent W∗LUR norm if and only if the weak∗ t...
A simple remark on the localization of the extreme points of the unit ball of the dual of the space ...
summary:An infinite dimensional counterpart of uniform smoothness is studied. It does not imply refl...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
summary:Every separable nonreflexive Banach space admits an equivalent norm such that the set of the...
AbstractOn every real Banach space X we introduce a locally convex topology τP, canonically associat...
Zizler∗ Two smoothness characterizations of weakly compact sets in Ba-nach spaces are given. One tha...
AbstractWe show that every normed spaceEwith a weakly locally uniformly rotund norm has an equivalen...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
We investigate under which conditions weak polynomial or weak analytic topology (*-weakpolynomial or...
AbstractWe give characterizations of weakly compactly generated spaces, their subspaces, Vašák space...
AbstractUsing the M-structure theory, we show that several classical function spaces and spaces of o...
AbstractLet T be the class of Banach spaces E for which every weakly continuous mapping from an α-fa...
AbstractThe dual X∗ of a Banach space X admits a dual σ-LUR norm if (and only if) X∗ admits a σ-weak...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
AbstractWe prove that a dual Banach space X∗ has an equivalent W∗LUR norm if and only if the weak∗ t...
A simple remark on the localization of the extreme points of the unit ball of the dual of the space ...
summary:An infinite dimensional counterpart of uniform smoothness is studied. It does not imply refl...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
summary:Every separable nonreflexive Banach space admits an equivalent norm such that the set of the...
AbstractOn every real Banach space X we introduce a locally convex topology τP, canonically associat...