64 citations · 883 across the 94 of their papers we have counts for
11 papers · 1 filter
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…