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arXiv · 1304.7454

Wold decomposition for doubly commuting isometries

Jaydeb Sarkar
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Abstract

In this paper, we obtain a complete description of the class of n-tuples (n >= 2) of doubly commuting isometries. In particular, we present a several variables analogue of the Wold decomposition for isometries on Hilbert spaces. Our main result is a generalization of M. Slocinski's Wold-type decomposition of a pair of doubly commuting isometries.

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Jaydeb Sarkar. 2013-12-12. Wold decomposition for doubly commuting isometries. https://arxiv.org/abs/1304.7454

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