Banach Poisson-Lie group structure on $U(\mathcal{H})$

Abstract

We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilbert space.

12 pages, to appear in Proceedings of Workshop on Geometric Methods in Physics 2022 published by Birkhauser

References in corpus (2)

• Geometry of quantum systems: density states and entanglement
• Unitary group orbits versus groupoid orbits of normal operators

Cited by in corpus (1)

• Poisson structures in the Banach setting: comparison of different approaches