Article ID Journal Published Year Pages File Type
4601341 Linear Algebra and its Applications 2010 34 Pages PDF
Abstract

We determine the sharpest constant Cp,q,rCp,q,r such that for all complex matrices XX and YY, and for Schatten pp-, qq- and rr-norms the inequality‖XY-YX‖p⩽Cp,q,r‖X‖q‖Y‖r‖XY-YX‖p⩽Cp,q,r‖X‖q‖Y‖ris valid. The main theoretical tool in our investigations is complex interpolation theory.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,