29 citations · 32 across the 12 of their papers we have counts for
6 papers · 1 filter
A characterization of Banach spaces with numerical index one
Subhadip Pal, Saikat Roy, Debmalya Sain
We investigate the extremal properties of the unit ball of , the dual space of bounded linear operators defined on a Banach space equipped with the numerical radius n…
On the geometry of -norm
Lakshmi Kanta Dey, Subhadip Pal
Let and be Banach spaces and let with . We study the geometry of -(semi-)norm on , defined by \[ \|T\|_G := \inf_{δ>0}\sup\{\|Tx\|: \|x\|…
Arithmetic Bohr radius of bounded linear operators
Vasudevarao Allu, Subhadip Pal
In this paper, we investigate the arithmetic Bohr radius of bounded linear operators between arbitrary complex Banach spaces. We establish the close connection between the classica…
On multidimensional Bohr radii for Banach spaces
Vasudevarao Allu, Subhadip Pal
In this paper, we study a more general version of multidimensional Bohr radii for the holomorphic functions defined on unit ball of spaces with v…
Bohr and Rogosinski inequalities for operator valued holomorphic functions
Vasudevarao Allu, Himadri Halder, Subhadip Pal
For any complex Banach space and each , we introduce the -Bohr radius of order is defined by $$ \widetilde{R}_…
On the extended version of Krasnosel'skii's fixed point theorem for Kannan type equicontraction mappings
Subhadip Pal, Ashis Bera, Lakshmi Kanta Dey
A sufficient condition is established for the existence of a solution to the equation , by considering a class of Kannan type equicontraction mappi…