1 citations · 1 across the 17 of their papers we have counts for
17 papers
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…
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.…
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…
Two aspects of small diameter properties
Sudeshna Basu, Susmita Seal
In this short note, we study two different geometrical aspects of Banach spaces with small diameter properties, namely the Ball Dentable Property (BDP), Ball Huskable Property (BHP…
Nonrough norms in Lipschitz free spaces
Sudeshna Basu, Susmita Seal
In this paper we characterise nonrough norms of Lipschitz free spaces F(M) in terms of a new geometric property of the underlying metric space M.
Nonrough norms in spaces with small diameter
Sudeshna Basu, Susmita Seal
In this work, we study the non rough norms in Banach spaces with small diameter properties, namely the Ball Dentable Property (BDP), the Ball Huskable Property (BHP) and the Ball S…