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Moments

Moment inequalities in matrix algebras

Total Cost €

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EC-Contrib. €

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Partnership

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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
address: EGHAM HILL UNIVERSITY OF LONDON
city: EGHAM
postcode: TW20 0EX
website: http://www.rhul.ac.uk

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 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.

# participants  country  role  EC contrib. [€] 
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
List of publications.
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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