(Co-)type and the linear stability of Wigner's symmetry theorem
Mathematical Physics
2019-07-15 v1 math.MP
Quantum Physics
Abstract
We study the relation between the linear stability of almost-symmetries and the geometry of the Banach spaces on which these transformations are defined. We show that any transformation between finite dimensional Banach spaces that preserves transition probabilities up to an additive error admits an approximation by a linear map, and the quality of the approximation depends on the type and cotype constants of the involved spaces.
Keywords
Cite
@article{arxiv.1907.05733,
title = {(Co-)type and the linear stability of Wigner's symmetry theorem},
author = {Javier Cuesta},
journal= {arXiv preprint arXiv:1907.05733},
year = {2019}
}
Comments
10 pages