11 citations · 40 across the 19 of their papers we have counts for
18 papers · 1 filter
Smoothness in the space of bounded linear operators on semi-Hilbert space
Somdatta Barik, Souvik Ghosh, Kallol Paul +1
Given a nonzero positive operator on a Hilbert space , a semi-inner product is naturally induced on . In this work, we introduce the notion of \emph{…
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…
Orthogonality induced by norm derivatives : A new geometric constant and symmetry
Souvik Ghosh, Kallol Paul, Debmalya Sain
In this article we study the difference between orthogonality induced by the norm derivatives (known as -orthogonality) and Birkhoff-James orthogonality in a normed linear space…
Orthogonality and smoothness induced by the norm derivatives
Debmalya Sain
We study the concepts of orthogonality and smoothness in normed linear spaces, induced by the derivatives of the norm function. We obtain analytic characterizations of the said ort…
On norm derivatives and the ball-covering property of Banach spaces
Debmalya Sain
We study a local version of the ball-covering problem in Banach spaces, and obtain a complete solution to it in terms of the norm derivatives. We illustrate the advantage of the lo…
On the best coapproximation problem in
Debmalya Sain, Shamim Sohel, Souvik Ghosh +1
We study the best coapproximation problem in the Banach space by using Birkhoff-James orthogonality techniques. Given a subspace of , we comple…