3 papers
math.FA2025
Multivariable Wold-Type Decomposition and Analytic Models for a class of left-inverse commuting pairs
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
This work establishes a multivariable Wold-type decomposition for left-inverse commuting -tuples of bounded operators, built on the hypothesis that each component admits a Wold-…
math.FA2025
Wold-type decomposition for Doubly commuting two-isometries
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
In this article, we prove that any pair of doubly commuting -isometries on a Hilbert space has a Wold-type decomposition. Moreover, the analytic part of the pair is unitary equi…
math.FA2024
Dirichlet type spaces in the unit bidisc and Wandering Subspace Property for operator tuples
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
In this article, we define Dirichlet-type space over the bidisc for any measure $\boldsymbolμ\in\mathcal{P}\mathcal{M}_{+}(\mathbb T^2…