3 papers
math.FA2026
von Neumann Inequality for a class of Doubly Contractive Weighted Shifts
Soumyadip Dey, Rajeev Gupta, Surjit Kumar
In this article, we investigate the ball version of von Neumann inequality for the class of doubly contractive -tuple of weighted shift. We show that if the weighted shift is ba…
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…