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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…
Farthest Point Problem and Partial Statistical Continuity in Normed Linear Spaces
Sumit Som, Lakshmi Kanta Dey, Sudeshna Basu
In this paper, we prove that if is a uniquely remotal subset of a real normed linear space such that has a Chebyshev center and the farthest point map $F:X\ri…