Tirthankar Bhattacharyya

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math.FA2024

Functions with image in a strip

Tirthankar Bhattacharyya, Anthony G. O'Farrell, Shubham Rastogi +1

We consider holomorphic functions on the unit disc whose images are contained in a strip of the complex plane. Under an additional condition, such functions are constants. We also…

math.FA2024

Complete Nevanlinna-Pick Kernels and the Curvature Invariant

Tirthankar Bhattacharyya, Abhay Jindal

We consider a unitarily invariant complete Nevanlinna-Pick kernel denoted by $s$ and a commuting $d$ -tuple of bounded operators $T = (T_{1}, \dots, T_{d})$ satisfying a natural con…

math.FA2024

The Bishop-Phelps-Bollobas property for certain Banach spaces

Tirthankar Bhattacharyya, Mainak Bhowmik, Kousik Dhara

Let $X$ be a complex Banach space. We prove that if $L$ is an extremally disconnected compact Hausdorff topological space, then the pair $(X, C (L))$ satisfies the Bishop-Phelps-Bol…

math.FA2022

Toeplitz operators and Hilbert modules on the symmetrized polydisc

Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau

When is the collection of $S$ -Toeplitz operators with respect to a tuple of commuting bounded operators $S = (S_{1}, S_{2}, \dots, S_{d - 1}, P)$ , which has the symmetri…