29 citations · 142 across the 21 of their papers we have counts for
6 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…
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…
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 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…