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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…
On Ball Dentable Property in Banach Spaces
Sudeshna Basu
In this work, we introduce the notion of Ball dentable property in Banach spaces. We study certain stability results for the -Ball dentable property leading to a discussion on…
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…