4 papers
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, Susmita Seal +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…
Some Geometric Aspects Related to Lim's Condition
Deepak Gothwal, T. S. S. R. K. Rao
In their seminal work, Lau and Mah (1986) study -normal structure in the space of operators , on a Hilbert space , using a geometric property of the dual un…
(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…