Skip to main content

Timeline for Monotonicity of matrix conjugation

Current License: CC BY-SA 4.0

5 events
when toggle format what by license comment
Mar 18 at 1:48 comment added António Borges Santos The Theorem only implies that $A^{\alpha}A A^{\alpha} \le A^{\alpha}B A^{\alpha}$ and $B^{\alpha}A B^{\alpha} \le B^{\alpha}B B^{\alpha}$ but not the inequality claimed in the question.
Mar 18 at 1:05 comment added Derek @anto/nio,, I am not sure what the problem is, Theorem 1.1 uses A>=B>= 0 but you can just use inverses for the problem stated by the OP.
Mar 18 at 0:02 comment added António Borges Santos is it really? In that inequality it seems you only change the matrix in the center not the ones outside?
Mar 17 at 23:41 vote accept António Borges Santos
Mar 18 at 0:02
Mar 17 at 22:00 history answered Derek CC BY-SA 4.0