An asymmetric Kadison's inequality

作者：Bourin Jean Christophe^*; Ricard Eric

来源：Linear Algebra and Its Applications, 2010, 433(3): 499-510.

DOI：10.1016/j.laa.2010.03.015

• Operator inequalities
• Matrix geometric mean
• Positive linear maps

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.

• 出版日期2010-9-1