Wold decomposition for doubly commuting isometries
Functional Analysis
2013-12-13 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.1304.7454,
title = {Wold decomposition for doubly commuting isometries},
author = {Jaydeb Sarkar},
journal= {arXiv preprint arXiv:1304.7454},
year = {2013}
}
Comments
10 pages, revised version. To appear in Linear Algebra and its Applications