Banach Poisson-Lie group structure on $\operatorname{U}(\mathcal{H})$
Functional Analysis
2023-11-14 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilbert space.
Keywords
Cite
@article{arxiv.2303.11795,
title = {Banach Poisson-Lie group structure on $\operatorname{U}(\mathcal{H})$},
author = {Alice Barbora Tumpach and Tomasz Goliński},
journal= {arXiv preprint arXiv:2303.11795},
year = {2023}
}
Comments
12 pages, to appear in Proceedings of Workshop on Geometric Methods in Physics 2022 published by Birkhauser