Timeline for A matrix norm inequality II
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2017 at 9:05 | comment | added | M. Lin | @AliTaghavi I emailed you a proof of the proposition. | |
| Mar 17, 2017 at 9:05 | comment | added | M. Lin | @AliTaghavi sure, for example you can find a unitary matrix $X$ such that $AXB$ is equal to the geometric mean of $A^2$ and $B^2$, usually denoted by $A^2\sharp B^2$. | |
| Mar 15, 2017 at 20:43 | comment | added | Ali Taghavi | Are there there matrices $A,B,X$ with $A, B$ are positive and X is unitary such that $AXB$ is Hermitian but $AB \neq BA$? | |
| Mar 15, 2017 at 20:31 | comment | added | Ali Taghavi | Does your argument work in arbitrary C* algebra? | |
| Mar 15, 2017 at 20:24 | comment | added | Ali Taghavi | Very interesting proposition: I am thinking to a proof, in particular the case that X is unitary. Did you wrote your proof some where(arxive, or some thing like this?)I am thinking for possible motivation for consideration of the assumption $AXB$ is hermitian?I am thinking for some geometric interpretation for the proposition in the unitary case. I am thinking also to the sharpnest of $\kappa (X)$ in your inequality. Very great post! | |
| Mar 13, 2017 at 9:14 | vote | accept | M. Lin | ||
| Mar 13, 2017 at 6:07 | answer | added | Ali Taghavi | timeline score: 7 | |
| Mar 13, 2017 at 5:02 | history | asked | M. Lin | CC BY-SA 3.0 |