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math.FA2009
Coincidence of Schur multipliers of the Drury-Arveson space
Angshuman Bhattacharya, Tirthankar Bhattacharyya
In a purely multi-variable setting (i.e., the issues discussed in this note are not interesting in the single variable operator theory setting), we show that the coincidence of two…
math.FA2009
Complete Pick Positivity and Unitary Invariance
Angshuman Bhattacharya, Tirthankar Bhattacharyya
The characteristic function for a contraction is a classical complete unitary invariant devised by Sz.-Nagy and Foias. Just as a contraction is related to the Szego kernel $k_S(z,w…