2019
DOI: 10.48550/arxiv.1907.05733
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

(Co-)type and the linear stability of Wigner's symmetry theorem

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.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 11 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?