11 citations · 12 across the 15 of their papers we have counts for
4 papers · 2 filters
Operator Geometry of Hilbert Ball Automorphisms
Saikat Roy
We consider the operator--theoretic model for the group of biholomorphic automorphisms of the unit ball of a complex Hilbert space $\H$ by representing each automorphi…
Norming Approximate Orthogonality in Normed Linear Spaces
Saikat Roy
We introduce and study the notion of \emph{norming approximate orthogonality}, a two-parameter generalization of Birkhoff--James orthogonality in normed linear spaces. For $δ, \var…
Polyhedral norms and smooth Hahn-Banach extension
Saikat Roy
We find a necessary and sufficient condition for a smooth functional on a subspace to admit a norm-preserving smooth extension to the entire space in polyhedral norms. The characte…
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…