Timeline for What is the socle of the $2\times 2$ matrix algebra over a Banach algebra?
Current License: CC BY-SA 4.0
6 events
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Sep 29, 2023 at 15:41 | history | edited | YCor | CC BY-SA 4.0 |
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Sep 29, 2023 at 14:52 | vote | accept | Qingping Zeng | ||
Sep 29, 2023 at 14:34 | answer | added | Will Sawin | timeline score: 1 | |
Sep 29, 2023 at 14:14 | comment | added | Qingping Zeng | Thanks for your comment! How to prove $soc(\mathcal{B})=M_{2}(soc(\mathcal{A}))$? | |
Sep 29, 2023 at 14:06 | comment | added | Will Sawin | Surely the formula would be $soc(\mathcal{B}) =M_2( soc(\mathcal{A}))$, no? Consider $\mathcal A= \mathbb C$ where $soc(\mathcal{A})= \mathbb C$ and $soc(\mathcal B) = soc(M_2(\mathbb C))= M_2(\mathbb C)$. | |
Sep 29, 2023 at 13:53 | history | asked | Qingping Zeng | CC BY-SA 4.0 |