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math.FA2018
Extreme contractions on finite-dimensional polygonal Banach spaces
Debmalya Sain, Anubhab Ray, Kallol Paul
We explore extreme contractions between finite-dimensional polygonal Banach spaces, from the point of view of attainment of norm of a linear operator. We prove that if is an…
math.FA2018★ 29 cited
A complete characterization of smoothness in the space of bounded linear operators
Debmalya Sain, Kallol Paul, Arpita Mal +1
We completely characterize smoothness of bounded linear operators between infinite dimensional real normed linear spaces, probably for the very first time, by applying the concepts…