Add to ORKGThe space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith and Turett used 12,1 to show that neither normal structure nor uniform normal structure is a self dual property for Banach spaces. In this paper we present some more qualitative and quantitative properties for Ip,q; in particular, we provide an affirmative answer to a question of Khamsi.Dirección General de Investigación Científica y TécnicaJunta de Andalucí
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In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed poi...
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AbstractLet X be a Banach space, S(X) - {x ε X : ‖#x02016; = 1} be the unit sphere of X.The paramete...
In an earlier paper by M.A.Khamsi a constant βp was introduced in any Banach space with a Schauder b...
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed poi...
International audienceRecently, Lima and Randrianarivony pointed out the role of the property (beta ...
AbstractLet X be a Banach space, S(X) - {x ε X : ‖#x02016; = 1} be the unit sphere of X.The paramete...
AbstractWe prove that F-convexity, the property dual to P-convexity of Kottman, implies uniform norm...
AbstractWe present some sufficient conditions for normal structure of Banach spaces and their dual s...
AbstractLet X be a Banach space, X2 ⊆ X be a two-dimensional subspace of X, and S(X) = {x ϵ X, ‖x‖ =...
AbstractWe present two sufficient conditions for normal structure in a Banach space. The first one i...
We present two sufficient conditions for normal structure in a Banach space. The first one is given ...
AbstractWe introduce a generalized James constant J(a,X) for a Banach space X, and prove that, if J(...
AbstractIn this paper, we prove that a Banach space X and its dual space X∗ have uniform normal stru...
If the second dual of a Banach space E is smooth at each point of a certain norm dense subset, then ...
It is shown that, for 1 < p < oo, the Bochner LP-space Lp(μ,X) has normal structure exactly wh...
AbstractIn the theory of partial differential equations one encounters two types of a priori estimat...
AbstractLet X be a Banach space, S(X) - {x ε X : ‖#x02016; = 1} be the unit sphere of X.The paramete...
In an earlier paper by M.A.Khamsi a constant βp was introduced in any Banach space with a Schauder b...
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed poi...
International audienceRecently, Lima and Randrianarivony pointed out the role of the property (beta ...