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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.OA2020
A caricature of dilation theory
B V Rajarama Bhat, Sandipan De, Narayan Rakshit
We present a set-theoretic version of some basic dilation results of operator theory. The results we have considered are Wold decomposition, Halmos dilation, Sz. Nagy dilation, int…