6 papers
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 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…
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,…
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…
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…