Open Access
2024 A noncommutative Freedman inequality
Andrzej Małek, Adam Osękowski
Author Affiliations +
Electron. Commun. Probab. 29: 1-11 (2024). DOI: 10.1214/24-ECP612

Abstract

The paper contains the extension of Freedman’s inequality to the context of self-adjoint martingales on general finite von Neumann algebras.

Funding Statement

A. Osękowski are supported by Narodowe Centrum Nauki (Poland), grant no. 2018/30/Q/ST1/00072.

Acknowledgments

The authors would like to thank anonymous Referees for the careful reading of the first version of the paper and several helpful comments and suggestions.

Citation

Download Citation

Andrzej Małek. Adam Osękowski. "A noncommutative Freedman inequality." Electron. Commun. Probab. 29 1 - 11, 2024. https://doi.org/10.1214/24-ECP612

Information

Received: 24 July 2023; Accepted: 12 July 2024; Published: 2024
First available in Project Euclid: 31 July 2024

Digital Object Identifier: 10.1214/24-ECP612

Subjects:
Primary: 46L53 , 60G42

Keywords: exponential , Freedman’s inequality , martingale , operator , self-adjoint

Back to Top