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 |