Add to ORKGRaja Let X be a Banach space with the Szlenk index ω, then its dual space X ∗ has an equivalent weak∗ uniformly Kadec–Klee norm with modulus of power type. That extends results of Knaust, Odell and Schlumprecht [‘On asymptotic structure, the Szlenk index and UKK properties in Banach spaces’, Positivity 3 (1999) 173–199] and solves a problem of Huff [‘Banach spaces which are nearly uniformly convex’, Rocky Mountain J. Math. 10 (1980) 743–749]. 1
Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first ...
AbstractThe dual X∗ of a Banach space X admits a dual σ-LUR norm if (and only if) X∗ admits a σ-weak...
A characterization of Banach spaces admitting uniformly Gâteaux smooth norms in terms of σ-finite d...
International audienceWe prove that if Y is a closed subspace of a Banach space X such that Y and X/...
International audienceWe prove that if Y is a closed subspace of a Banach space X such that Y and X/...
ABSTRACT. We prove that if the Szlenk index Sz(X) and the weak*-dentability index δ∗(X) of a Banach ...
. Let B be a separable Banach space and let X = B be separable. We prove that if B has finite Szl...
It is known that not every Banach space can be renormed so that the resultant space satisfies the ...
We give a new construction of uniformly convex norms with a power type modulus on super-reflexive sp...
It is known that not every Banach space can be renormed so that the resultant space satisfies the w...
Abstract. We prove that if Y is a closed subspace of a Banach space X such that Y and X/Y admit an e...
Abstract: We prove that if the dentability index δ(X) of a Banach space X is less than ω1 (first unc...
A new geometry property and two new moduli are introduced in Banach space. First, the concept of loc...
AbstractLet X be a Banach space with the closed unit ball B(X). In this paper, by directly extrapola...
AbstractThe Szlenk index has found many applications in the isomorphic theory of Banach spaces. Its ...
Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first ...
AbstractThe dual X∗ of a Banach space X admits a dual σ-LUR norm if (and only if) X∗ admits a σ-weak...
A characterization of Banach spaces admitting uniformly Gâteaux smooth norms in terms of σ-finite d...
International audienceWe prove that if Y is a closed subspace of a Banach space X such that Y and X/...
International audienceWe prove that if Y is a closed subspace of a Banach space X such that Y and X/...
ABSTRACT. We prove that if the Szlenk index Sz(X) and the weak*-dentability index δ∗(X) of a Banach ...
. Let B be a separable Banach space and let X = B be separable. We prove that if B has finite Szl...
It is known that not every Banach space can be renormed so that the resultant space satisfies the ...
We give a new construction of uniformly convex norms with a power type modulus on super-reflexive sp...
It is known that not every Banach space can be renormed so that the resultant space satisfies the w...
Abstract. We prove that if Y is a closed subspace of a Banach space X such that Y and X/Y admit an e...
Abstract: We prove that if the dentability index δ(X) of a Banach space X is less than ω1 (first unc...
A new geometry property and two new moduli are introduced in Banach space. First, the concept of loc...
AbstractLet X be a Banach space with the closed unit ball B(X). In this paper, by directly extrapola...
AbstractThe Szlenk index has found many applications in the isomorphic theory of Banach spaces. Its ...
Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first ...
AbstractThe dual X∗ of a Banach space X admits a dual σ-LUR norm if (and only if) X∗ admits a σ-weak...
A characterization of Banach spaces admitting uniformly Gâteaux smooth norms in terms of σ-finite d...