Timeline for Why does the field norm on the field extension $ \mathbb C/\mathbb R $ induce a vector space norm?
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2023 at 20:44 | history | edited | Ege Erdil | CC BY-SA 4.0 |
correcting a typo
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| Mar 31, 2022 at 13:16 | answer | added | Denis Nardin | timeline score: 0 | |
| Feb 16, 2022 at 18:54 | answer | added | KConrad | timeline score: 4 | |
| Aug 27, 2021 at 11:50 | vote | accept | Ege Erdil | ||
| Aug 27, 2021 at 8:10 | comment | added | Uri Bader | @LSpice I blame my autocorrect for it. It didn't even occur to me that "accurse" is a meaningful word. | |
| Aug 26, 2021 at 18:39 | comment | added | LSpice | Although it was clearly a typo, I like @UriBader's inadvertent suggestion to describe an unpleasant realisation as "It now accurse to me". | |
| Aug 26, 2021 at 17:19 | answer | added | Uri Bader | timeline score: 14 | |
| Aug 26, 2021 at 7:55 | comment | added | Uri Bader | It now accurse to me that maybe I can give an existence argument using an averaging over the kernel of the norm map with respect to its Haar measure... I will give it a try later on. | |
| Aug 26, 2021 at 7:39 | comment | added | Uri Bader | I posted an elaborated answer giving a uniform proof of the fact that $N^{1/n}$ is indeed a norm. In fact it is a unique absolute value extension of $|\cdot|$. The uniqueness part is easy and standard: if there exists an extension it must coincide with $N^{1/n}$. Thus, if you believe in existence for moral reasons or, better, have a non-constructive proof then the fact that $N^{1/n}$ is a norm follows. For me, this is the motivation to consider this specific function. Does this answer your question? | |
| Aug 24, 2021 at 20:58 | answer | added | Uri Bader | timeline score: 7 | |
| Aug 24, 2021 at 12:19 | history | edited | Ege Erdil | CC BY-SA 4.0 |
added 17 characters in body
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| Aug 24, 2021 at 11:51 | review | First posts | |||
| Aug 24, 2021 at 12:43 | |||||
| Aug 24, 2021 at 11:46 | history | asked | Ege Erdil | CC BY-SA 4.0 |