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odometer semigroup

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Wold decomposition on odometer semigroups
Part of
- Groups and semigroups of linear operators, their generalizations and applications
- General theory of linear operators
Boyu Li
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 152 / Issue 3 / June 2022

Published online by Cambridge University Press:

13 July 2021, pp. 738-755

Print publication:

June 2022
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We establish a Wold-type decomposition for isometric and isometric Nica-covariant representations of the odometer semigroup. These generalize the Wold-type decomposition for commuting pairs of isometries due to Popovici and for pairs of doubly commuting isometries due to Słociński.