Timeline for Examples of TVS with no non-trivial open convex subsets
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| May 19, 2015 at 6:30 | vote | accept | mathcounterexamples.net | ||
| May 19, 2015 at 6:27 | comment | added | mathcounterexamples.net | @Johannes Hahn. You're probably right. I just mean that I'm also interested by "strange objects". | |
| May 19, 2015 at 6:22 | answer | added | Francois Ziegler | timeline score: 0 | |
| May 17, 2015 at 10:01 | answer | added | Peter Michor | timeline score: 1 | |
| May 16, 2015 at 20:36 | comment | added | mathcounterexamples.net | @Ricardo l'll be interested in having a big list of examples for my first question. I'll raise a separate topic for the second question. | |
| May 16, 2015 at 20:07 | comment | added | Johannes Hahn | "Apart from spaces of functions or sequences" Doesn't that exclude basically all naturally occurring spaces? I mean the whole point of functional analysis and the study of TVS is to understand certain function spaces better. | |
| May 16, 2015 at 19:44 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
edited tags; minor corrections and changes
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| May 16, 2015 at 19:01 | comment | added | KConrad | For what it's worth, this construction of TVS with dual space $\{0\}$ works for $L^p(X)$ where $X$ is any measure space with no atoms and $0 < p < 1$. In this way the sequence spaces and functions on $[0,1]$ that you describe are special instances of a more general construction. See math.uconn.edu/~kconrad/blurbs/analysis/lpspace.pdf. | |
| May 16, 2015 at 16:39 | history | asked | mathcounterexamples.net | CC BY-SA 3.0 |