5 citations · 11 across the 13 of their papers we have counts for
13 papers
On symmetricity of orthogonality with respect to numerical radius norm
Shamim Sohel
We study Birkhoff-James orthogonality and local symmetric points in the space of vector-valued continuous functions equipped with a numerical-radius type (semi-)norm. We e…
On the Ball Covering Property of
Ankan Mishra, Kallol Paul, Debmalya Sain +1
We investigate the Ball Covering Property (BCP) of Banach spaces through the lens of Birkhoff-James orthogonality, yielding a new geometric characterization of the property. Applyi…
On some subspaces of vector-valued continuous function space, from the perspective of Best coapproximation
Souvik Ghosh, Kallol Paul, Debmalya Sain +1
This article explores anti-coproximinal and strongly anti-coproximinal subspaces in the spaces of vector-valued continuous functions and operator spaces. We provide a complete char…
On symmetricity of orthogonality in function spaces and space of operators on Banach spaces
Shamim Sohel, Debmalya Sain, Kallol Paul
We study symmetric points with respect to -orthogonality, -orthogonality and -orthogonality in the space where is a perfectly normal, com…
On symmetric functions and symmetric operators on Banach spaces
Kallol Paul, Debmalya Sain, Shamim Sohel
We study left symmetric and right symmetric elements in the space of bounded functions from a non-empty set to a Banach space We p…
On anti-coproximinal and strongly anti-coproximinal subspaces of function spaces
Shamim Sohel, Souvik Ghosh, Debmalya Sain +1
The purpose of this article is to study the anti-coproximinal and strongly anti-coproximinal subspaces of the Banach space of all bounded (continuous) functions. We obtain a tracta…
A unified approach to a family of optimization problems in Banach spaces
Kallol Paul, Saikat Roy, Debmalya Sain +1
Our principal aim is to illustrate that the concept Birkhoff-James orthogonality can be applied effectively to obtain a unified approach to a large family of optimization problems…
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…