4 citations · 6 across the 9 of their papers we have counts for
9 papers
Convexity of Berezin Range and Berezin Radius Inequalities via a class of Seminorm
P. Hiran Das, Athul Augustine, Pintu Bhunia +1
Let denote the -algebra of all bounded linear operators acting on a reproducing kernel Hilbert space In this paper, we introduce a new famil…
Composition operators, convexity of their Berezin range and related questions
Athul Augustine, M. Garayev, P. Shankar
The Berezin range of a bounded operator acting on a reproducing kernel Hilbert space is the set := $\{\langle T\hat{k}_{x},\hat{k}_{x} \rangle_{\m…
The structure of twisted power partial isometries
Athul Augustine, P. Shankar
Let and let be commuting unitaries on a Hilbert space . Suppose , . An n-tuple of…
On products of symmetries in von Neumann algebras
B V Rajarama Bhat, Soumyashant Nayak, P Shankar
Let be a type von Neumann algebra. We show that every unitary in may be decomposed as the product of six symmetries (that is, self-adjoint unitar…
Boundary Representations and Rectangular Hyperrigidity
Arunkumar C. S, Shankar P, A. K. Vijayarajan
We explore connections between boundary representations of operator spaces and those of the associated Paulsen systems. Using the notions of finite representation and separating pr…
Pairs of projections and commuting isometries
Sandipan De, Shankar. P, Jaydeb Sarkar +1
It is known that the non-zero part of compact defect operators of Berger-Coburn-Lebow pairs (BCL pairs in short) of isometries are diagonal operators of the form \[ \begin{bmatrix}…