6 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…
Subdifferential of the norm, and approximate orthogonality
Priyanka Grover, Krishna Kumar Gupta, Susmita Seal
We present an expression for the right hand derivative of the norm generalizing the result for in [D. J. Keki$\grav…
Bijections on the set of extreme points in a compact convex set
Anil Kumar Karn, Susmita Seal
In a recent work, Roelands and Tiersma proved that, for a compact convex set , the space of all real-valued continuous affine functions on , is a JB-algebra if and onl…
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…
Geometry of the unit ball of
T. S. S. R. K. Rao, Susmita Seal
In this work we study the geometry of the unit ball of the space of operators , by considering the projective tensor product as a predual…
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…