Timeline for Examples of common false beliefs in mathematics
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Feb 8, 2021 at 22:45 | comment | added | user20948 | The existence of a nonzero functional on a locally convex space is guarenteed by the Hahn-Banach theorem. $p$-Banach spaces are in general not locally convex if $p<1$. | |
| Jul 7, 2010 at 19:31 | history | edited | Asaf Karagila♦ | CC BY-SA 2.5 |
added 14 characters in body
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| Jul 7, 2010 at 19:31 | comment | added | Asaf Karagila♦ | You are indeed correct. I'll do better not to dismiss the trivial case the next time. | |
| Jul 7, 2010 at 18:54 | comment | added | Mariano Suárez-Álvarez | Well, it is true that every vector space has a dual space, even $L^{1/2}$... and it is even true that every topological vector space has a continuous dual space... What you mean is that it is not true that every topological vector space has a non-trivial continuous dual space (or, that the continuous dual of a topological vector space does not necessarily separate points) | |
| Jul 7, 2010 at 18:04 | history | answered | Asaf Karagila♦ | CC BY-SA 2.5 |