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math.OA2020
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…
math.FA2020★ 2 cited
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}…
math.FA2020
Multiplication operators between discrete Hardy spaces on rooted trees
P. Muthukumar, P. Shankar
Muthukumar and Ponnusamy \cite{MP-Tp-spaces} studied the multiplication operators on spaces. In this article, we mainly consider multiplication operators between $\m…