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math.FA2012
The Defect Sequence for Contractive Tuples
Tirthankar Bhattacharyya, Bata Krishna Das, Santanu Sarkar
We introduce the defect sequence for a contractive tuple of Hilbert space operators and investigate its properties. The defect sequence is a sequence of numbers, called defect dime…
math.FA2012★ 32 cited
Operator theory on the tetrablock
Tirthankar Bhattacharyya
We study a commuting triple of bounded operators which has the tetrablock as a spectral set.
math.FA2012
A functional model for pure -contractions
Tirthankar Bhattacharyya, Sourav Pal
A pair of commuting operators defined on a Hilbert space for which the closed symmetrized bidisc $$ Γ= \{(z_1+z_2,z_1z_2):: |z_1|\leq 1,\, |z_2|\leq 1 \}\subse…