Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601341 | Linear Algebra and its Applications | 2010 | 34 Pages |
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
David Wenzel, Koenraad M.R. Audenaert,