4 papers
Geometric characterization of Generalized Property (II)
Sudeshna Basu, Susmita Seal
Let be a compatible collection of bounded subsets of a Banach space . In this paper, we introduce the notion of -Property (II) and prove that has…
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…
Ball separation characterization of ball dentability and related properties
Sudeshna Basu, Susmita Seal
In Euclidean spaces, every closed, bounded, convex set can be characterized by two equivalent notions of separation properties. This is not true in general for arbitrary Banach spa…
On the duality between Diameter Two Properties and Ideals in Banach Spaces
Sudeshna Basu
We prove that the dual of an M ideal of a Banach space inherits all the versions of diameter two properties. We give a counter example to show that the converse is not true.…