On pure contractive semigroups
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.
Authors
- Vijaya Kumar U
- Shubham Rastogi
Institutions
- SRM Institute of Science and Technology (IN)
- Indian Institute of Technology Bombay (IN)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2025-09-23
- DOI
- https://doi.org/10.1090/proc/17343
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00