5 citations · 11 across the 6 of their papers we have counts for
6 papers
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…
On subspaces of and extreme contraction in
Shamim Sohel, Debmalya Sain, Kallol Paul
We investigate different possiblities of subspaces of the space in terms of whether the subspaces are polyhedral or not. We further study finite-dimensional subspac…