On pure contractive semigroups
Functional Analysis
2024-07-30 v1
Abstract
We find the commutant of a pure contractive semigroup on a Hilbert space. We demonstrate that any tuple of doubly commuting pure contractive semigroups can be dilated to a tuple of doubly commuting pure isometric semigroups. En route, we obtain a complete model for the tuples of doubly commuting isometric semigroups.
Cite
@article{arxiv.2407.19935,
title = {On pure contractive semigroups},
author = {Shubham Rastogi and Vijaya Kumar U},
journal= {arXiv preprint arXiv:2407.19935},
year = {2024}
}
Comments
Preliminary version, comments are welcome