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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…
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…