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arXiv · 2503.16933

Wold-type decomposition for Doubly commuting two-isometries

Monojit Bhattacharjee·Rajeev Gupta·Vidhya Venugopal
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Abstract

In this article, we prove that any pair of doubly commuting $2$-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.

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Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal. 2025-03-21. Wold-type decomposition for Doubly commuting two-isometries. https://arxiv.org/abs/2503.16933

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