An asymmetric Kadison’s inequality

Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison’s inequality and several operator versions of Chebyshev’s inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation....

Full description

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2010-09, Vol.433 (3), p.499-510
Main Authors: Bourin, Jean-Christophe, Ricard, Éric
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Functional Analysis
Linear and multilinear algebra, matrix theory
Mathematical analysis
Mathematics
Matrix geometric mean
Operator inequalities
Operator theory
Positive linear maps
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison’s inequality and several operator versions of Chebyshev’s inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2010.03.015