64 citations · 883 across the 94 of their papers we have counts for
10 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…
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…
Symmetry of Birkhoff-James orthogonality of operators defined between infinite dimensional Banach spaces
Kallol Paul, Arpita Mal, Pawel Wójcik
We study left symmetric bounded linear operators in the sense of Birkhoff-James orthogonality defined between infinite dimensional Banach spaces. We prove that a bounded linear ope…
A complete characterization of smoothness in the space of bounded linear operators
Debmalya Sain, Kallol Paul, Arpita Mal +1
We completely characterize smoothness of bounded linear operators between infinite dimensional real normed linear spaces, probably for the very first time, by applying the concepts…
On two extremum problems related to the norm of a bounded linear operator
Debmalya Sain, Kallol Paul, Kalidas Mandal
We explore the norm attainment set and the minimum norm attainment set of a bounded linear operator between Hilbert spaces and Banach spaces. Indeed, we obtain a complete character…
On some geometric properties of operator spaces
Arpita Mal, Debmalya Sain, Kallol Paul
In this paper we study some geometric properties like parallelism, orthogonality and semi-rotundity in the space of bounded linear operators. We completely characterize parallelism…
On extreme contractions between real Banach spaces
Debmalya Sain, Kallol Paul, Arpita Mal
We completely characterize extreme contractions between two-dimensional strictly convex and smooth real Banach spaces, perhaps for the very first time. In order to obtain the desir…