5 citations · 11 across the 13 of their papers we have counts for
5 papers · 1 filter
On the best coapproximation problem in
Debmalya Sain, Shamim Sohel, Souvik Ghosh +1
We study the best coapproximation problem in the Banach space by using Birkhoff-James orthogonality techniques. Given a subspace of , we comple…
On best coapproximations in subspaces of diagonal matrices
Debmalya Sain, Shamim Sohel, Souvik Ghosh +1
We characterize the best coapproximation(s) to a given matrix out of a given subspace of the space of diagonal matrices , by using Birkhoff-Ja…
On k-smoothness of operators between Banach spaces
Debmalya Sain, Shamim Sohel, Kallol Paul
We explore the -smoothness of bounded linear operators between Banach spaces, using the newly introduced notion of index of smoothness. The characterization of the -smoothnes…
On some special subspaces of a Banach space, from the perspective of best coapproximation
Shamim Sohel, Souvik Ghosh, Debmalya Sain +1
We study the best coapproximation problem in Banach spaces, by using Birkhoff-James orthogonality techniques. We introduce two special types of subspaces, christened the anti-copro…
Extreme contractions on finite-dimensional Banach spaces
Debmalya Sain, Shamim Sohel, Kallol Paul
We study extreme contractions in the setting of finite-dimensional polyhedral Banach spaces. Motivated by the famous Krein-Milman Theorem, we prove that a \emph{rank one} norm one…