Timeline for Commuting matrices of complex functions
Current License: CC BY-SA 4.0
6 events
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Apr 6, 2020 at 19:26 | vote | accept | Guest | ||
Apr 3, 2020 at 23:59 | comment | added | KhashF | @NathanielJohnston I thought the same first. But notice that the $A^\#(z_0)$ is the Hermitian adjoint of $A(\bar{z_0})$ not $A(z_0)$. | |
Apr 3, 2020 at 23:47 | comment | added | Nathaniel Johnston | Yes, this is true, and it has nothing to do with entire functions. It's just the fact that if $A$ and $B$ are normal matrices (your conditions (1) and (2)) that commute (condition (3)) then they are simultaneously orthonormally diagonalizable, so each of $A$, $B$, $A^{\#}$, and $B^{\#}$ commute with each other. | |
Apr 3, 2020 at 23:46 | answer | added | KhashF | timeline score: 4 | |
Apr 3, 2020 at 23:32 | history | edited | Guest | CC BY-SA 4.0 |
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Apr 3, 2020 at 23:16 | history | asked | Guest | CC BY-SA 4.0 |