14 papers
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, 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…
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…
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…
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.…
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…
Non-rough norms and dentability in spaces of operators
Susmita Seal, Sudeshna Basu, Julio Becerra Guerrero +1
In this work, we study non-rough norms in L(X,Y), the space of bounded linear operators between Banach spaces X and Y. We prove that L(X,Y) has non-rough norm if and only if X* and…
Small Diameter Properties In Ideals of Banach Spaces
Sudeshna Basu, Susmita Seal
A Banach space has the ball huskable property () if the closed unit ball has weakly open sets of arbitrarily small diameter. We can analogously define - in the dual…
Small Combination of Slices, Dentability and Stability Results Of Small Diameter Properties In Banach Spaces
Sudeshna Basu, Susmita Seal
In this work we study three different versions of small diameter properties of the unit ball in a Banach space and its dual. The related concepts for all closed bounded convex sets…
Stability Results Of Small Diameter Properties In Banach Spaces
Sudeshna Basu, Susmita Seal
The geometric notion of huskability initiated and developed in [B3], [BR] ,[EW], [GM] was subsequently extensively studied in the context of dentability and Radon Nikodym Property…
Characterization of -compact sets via statistically convergent sequences
Susmita Seal, Sumit Som, Sudeshna Basu +1
In this paper, we study stability of -compactness for sum of Banach spaces for . We also obtain a characterization of -compact sets in terms of statisti…