Memoirs of the American Mathematical Society
1 total work
Positive Definiteness of Functions with Applications to Operator Norm Inequalities
by Hideki Kosaki
Published 23 January 2012
Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.