Timeline for Does the following $ C^{*} $-algebraic result have a purely algebraic proof?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 22, 2015 at 15:37 | vote | accept | Transcendental | ||
| Jul 22, 2015 at 15:37 | comment | added | Transcendental | This is awesome, Martin. Thanks! :) With this, we have the result that if $ A $ and $ B $ are $ * $-algebras over $ \Bbb{C} $, and $ b^{*} b = 0_{B} \Rightarrow b = 0_{B} $ for every $ b \in B $, then the sum of any two $ * $-homomorphisms $ f,g: A \to B $ is yet again a $ * $-homomorphism if and only if the ranges of $ f $ and $ g $ are orthogonal. | |
| Jul 21, 2015 at 10:23 | history | answered | Martin Argerami | CC BY-SA 3.0 |