54 citations · 332 across the 64 of their papers we have counts for
12 papers · 1 filter
Approximate Birkhoff-James orthogonality and smoothness in the space of bounded linear operators
Arpita Mal, Kallol Paul, T. S. S. R. K. Rao +1
We study approximate Birkhoff-James orthogonality of bounded linear operators defined between normed linear spaces and As an application of the results o…
A complete characterization of Radon planes whose unit spheres are regular polygons
Kalidas Mandal, Debmalya Sain, Kallol Paul
We study the structure of the unit sphere of polygonal Radon planes from a geometric point of view. In particular, we prove that a -dimensional real polygonal Banach space $ \…
Some remarks on Birkhoff-James orthogonality of linear operators
Debmalya Sain, Kallol Paul, Arpita Mal
We study Birkhoff-James orthogonality of compact (bounded) linear operators between Hilbert spaces and Banach spaces. Applying the notion of semi-inner-products in normed linear sp…
On the numerical index of polyhedral Banach spaces
Debmalya Sain, Kallol Paul, Pintu Bhunia +1
The computation of the numerical index of a Banach space is an intriguing problem, even in case of two-dimensional real polyhedral Banach spaces. In this article we present a gener…
A study of orthogonality of bounded linear operators
Tamara Bottazzi, Cristian Conde, Debmalya Sain
We study Birkhoff-James orthogonality and isosceles orthogonality of bounded linear operators between Hilbert spaces and Banach spaces. We explore Birkhoff-James orthogonality of b…
Extreme contractions on finite-dimensional polygonal Banach spaces
Debmalya Sain, Anubhab Ray, Kallol Paul
We explore extreme contractions between finite-dimensional polygonal Banach spaces, from the point of view of attainment of norm of a linear operator. We prove that if is an…