Wold-type decomposition for Doubly commuting two-isometries
Functional Analysis
2025-03-24 v1
Abstract
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 equivalent to the pair of multiplication by coordinate function on a Dirichlet-type space on the bidisc.
Cite
@article{arxiv.2503.16933,
title = {Wold-type decomposition for Doubly commuting two-isometries},
author = {Monojit Bhattacharjee and Rajeev Gupta and Vidhya Venugopal},
journal= {arXiv preprint arXiv:2503.16933},
year = {2025}
}
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13 pages