Timeline for Pontryagin-reflexivity of spaces of continuous functions
Current License: CC BY-SA 4.0
6 events
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| Mar 26, 2022 at 18:51 | comment | added | Sergei Akbarov | @B.P. you know, I can't restore the details... Why it seems to me that this question has negative answer, I don't understand. I'll let you know if I recall this. | |
| Mar 26, 2022 at 10:47 | comment | added | user103549 | By the way, I wrote that the result about Banach spaces is well known because it's both on the Wikipedia page for Pontryagin duality, and it appears in Peter Scholzes notes on Dustin Clausen's and his "Analytic Geometry" (/ "Condensed Mathematics"). | |
| Mar 26, 2022 at 10:44 | comment | added | user103549 | Thanks for answering! Regarding the last paragraph, do you remember a counterexample to the reflectivity (i.e. Pontryagin-reflexivity in the terminology of the original question) of $C(M)$ ($M$ arbitrary $k$-space)? I like your stereotype spaces; nevertheless, I think the precise question I posed is also intrinsically interesting, since it works completely in $\mathcal{Vect}_{\mathbb{R}}(k-\mathcal{Top})$, the category vector spaces internal to the category of $k$-spaces. So in a way, it's almost a naive question--which would make it interesting if the answer was positive. | |
| Mar 26, 2022 at 8:12 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
added 3 characters in body
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| Mar 26, 2022 at 8:06 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
edited body
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| Mar 26, 2022 at 7:56 | history | answered | Sergei Akbarov | CC BY-SA 4.0 |