7 papers · 1 filter
A short note on hereditary Mazur intersection property
Pradipta Bandyopadhyay, Deepak Gothwal
In this note, we prove that hereditary Mazur intersection property (MIP) does not imply Fréchet smoothness using an example by Borwein and Fabian (1993).
Semi denting points and related notions in Banach spaces
Sudeshna Basu, Priyanka Priyadarshini Behera, Deepak Gothwal +1
In this work, we study semi denting points and related notions in Banach spaces. We observe that has the Radon-Nikodým Property if and only if every closed bounded convex set h…
Geometric conditions which imply -normal structure
Deepak Gothwal, T. S. S. R. K. Rao
Let be a complex Banach space. In their seminal work, Lau and Mah (\cite{LM}) study a geometric property called Lim's condition which, for separable , implies that for any n…
(Asymptotic) uniform smoothness, ball separation and residuality results
Pradipta Bandyopadhyay, Deepak Gothwal
In this article, we discuss a ball separation characterisation of asymptotically uniformly smooth (AUS) norms. We use this characterisation to prove the residuality of the set of e…
More on the (Uniform) Mazur Intersection Property
Deepak Gothwal
In this paper, we introduce two moduli of w*-semidenting points and characterise the Mazur Intersection Property (MIP) and the Uniform MIP (UMIP) in terms of these moduli. We show…
The Generalised (Uniform) Mazur Intersection Property
Pradipta Bandyopadhyay, Deepak Gothwal
Given a family of closed bounded convex sets in a Banach space , we say that has the -MIP if every is the intersection of the…
On uniform Mazur intersection property
Pradipta Bandyopadhyay, Jadav Ganesh, Deepak Gothwal
In this paper, we show that a Banach space has the Uniform Mazur Intersection Property (UMIP) if and only if every is uniformly w*-semidenting point of .…