64 citations · 883 across the 94 of their papers we have counts for
11 papers · 2 filters
On symmetricity of the norm derivatives orthogonality in operator spaces
Souvik Ghosh, Kallol Paul, Debmalya Sain
We investigate -orthogonality and its local symmetry in the space of bounded linear operators. A characterization of Hilbert space operators with symmetric numerical range is es…
An improvement of the Blanco-Koldobsky-Turnšek characterization of isometries
Jayanta Manna, Kalidas Mandal, Kallol Paul +1
We present an improvement of the Blanco-Koldobsky-Turnšek characterization of isometries in normed linear spaces by using the concept of level vectors of an operator. In this conte…
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…
A study on preservation of parallel pairs and triangle equality attainment pairs
Jayanta Manna, Kalidas Mandal, Kallol Paul +1
This paper investigates the structure and preservation of parallel pairs and triangle equality attainment (TEA) pairs in normed linear spaces. We begin by providing functional 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…
Refinements of the Blanco-Koldobsky-Turnšek Theorem
Jayanta Manna, Kalidas Mandal, Kallol Paul +1
We refine the well-known Blanco-Koldobsky-Turnšek Theorem which states that a norm one linear operator defined on a Banach space is an isometry if and only if it preserves orthogon…
On approximate preservation of orthogonality and its application to isometries
Kalidas Mandal, Jayanta Manna, Kallol Paul +1
Motivated by the famous Blanco-Koldobsky-Turnšek characterization of isometries, we study the \textit{approximate preservation of Birkhoff-James orthogonality by a linear operator…
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 directional preservation of orthogonality and its application to isometries
Jayanta Manna, Kalidas Mandal, Kallol Paul +1
We study the local preservation of Birkhoff-James orthogonality by linear operators between normed linear spaces, at a point and in a particular direction. We obtain a complete cha…