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19952026
most citedFarthest Point Problem and Partial Statistical Continuity in Normed Linear Spaces

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math.FA2025

On the duality between Diameter Two Properties and Ideals in Banach Spaces

Sudeshna Basu

We prove that the dual of an M ideal of a Banach space inherits all the versions of diameter two properties. We give a counter example to show that the converse is not true.…

math.FA2025

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…