Moments
Moment inequalities in matrix algebras
Total Cost €
0EC-Contrib. €
0Partnership
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Project "Moments" data sheet
The following table provides information about the project.
| Coordinator |
ROYAL HOLLOWAY AND BEDFORD NEW COLLEGE
Organization address contact info |
| Coordinator Country | United Kingdom [UK] |
| Project website | https://sites.google.com/site/zoltanleka88/ |
| Total cost | 183˙454 € |
| EC max contribution | 183˙454 € (100%) |
| Programme |
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility) |
| Code Call | H2020-MSCA-IF-2014 |
| Funding Scheme | MSCA-IF-EF-ST |
| Starting year | 2015 |
| Duration (year-month-day) | from 2015-09-01 to 2017-08-31 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | ROYAL HOLLOWAY AND BEDFORD NEW COLLEGE | UK (EGHAM) | coordinator | 183˙454.00 |
Map
Project objective
In the last few years the non-commutative moment inequalities have received a considerable attention in matrix analysis and operator theory. This phenomenon originates on the one hand in studies on the extreme properties of the standard deviation in quantum information theory, and on the other hand, in the recent concept and developments of quantum metric spaces. This research project will investigate trace inequalities in matrix algebras. Particular attention will be paid on moment inequalities for matrices with a special emphasis on their counterparts in operator algebras. It will focus on determining the best upper and lower bounds for higher order central moments in matrix algebras. This will be followed by a study of the relatively new concept of Leibniz seminorms in Banach algebras. The project will pursue a research on the strong Leibniz property of central moments in non-commutative probability spaces as well as in the classical ones in order to solve the recent question whether every centered moment has the strong Leibniz property or not.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2017 |
Zoltán Léka Rearrangements and Leibniz-type rules of mean oscillations published pages: , ISSN: , DOI: |
2019-07-23 | |
| 2017 |
Zoltán Léka Some singular value inequality via convexity published pages: , ISSN: , DOI: |
2019-07-23 | |
| 2018 |
Zoltán Léka On the Leibniz rule for random variables published pages: 235-249, ISSN: 1331-4343, DOI: |
Mathematical Inequalities and Its Applications | 2019-07-23 |
| 2016 |
Zoltán Léka Some inequalities for central moments of matrices published pages: 246-261, ISSN: 0024-3795, DOI: 10.1016/j.laa.2016.01.044 |
Linear Algebra and its Applications 496 | 2019-07-23 |
| 2017 |
Zoltán Léka Symmetric seminorms and the Leibniz property published pages: 708-725, ISSN: 0022-247X, DOI: 10.1016/j.jmaa.2017.02.070 |
Journal of Mathematical Analysis and Applications 452/1 | 2019-07-23 |
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