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math.FA2011★ 1 cited
Dilations of Γ-contractions by solving operator equations
Tirthankar Bhattacharyya, Sourav Pal, Subrata Shyam Roy
For a contraction P and a bounded commutant S of P, we seek a solution X of the operator equation S-S*P = (I-P*P)^1/2 X(I-P*P) 1/2, where X is a bounded operator on Ran(I-P*P) 1/2…
math.FA2011★ 1 cited
Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
Gadadhar Misra, Subrata Shyam Roy, Genkai Zhang
A natural class of weighted Bergman spaces on the symmetrized polydisc is isometrically embedded as a subspace in the corresponding weighted Bergman space on the polydisc. We find…