Timeline for bornological vector spaces over a non-archimedean field
Current License: CC BY-SA 3.0
10 events
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| Feb 28, 2013 at 12:44 | comment | added | Oren Ben-Bassat | I am mainly interested in tensor products in the category of complete bornological sapces and comparing them to tensor products in the category of Banach spaces. Is there a fully faithful functor Ban---> Born that does the job in general? In the Archimedean setting over the complex numbers I think there is such an assignment, discussed by Meyer. If you drop conditions of completeness I think there is also such a functor, due to Houzel. | |
| Feb 27, 2013 at 9:50 | vote | accept | Oren Ben-Bassat | ||
| Feb 27, 2013 at 5:22 | comment | added | Oren Ben-Bassat | Thanks, I was not sure what goes wrong in Schneider's theory if you try to apply it when the valuation is trivial. | |
| Feb 26, 2013 at 20:08 | answer | added | Federico Bambozzi | timeline score: 8 | |
| Feb 26, 2013 at 14:04 | comment | added | Torsten Schoeneberg | In P. Schneider's Nonarchimedean Functional Analysis (§6) the notion of a bornological locally convex vector space is introduced over any nonarchimedean field with non-trivial valuation. | |
| Feb 26, 2013 at 12:11 | history | edited | Oren Ben-Bassat | CC BY-SA 3.0 |
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| Feb 25, 2013 at 20:56 | history | edited | Oren Ben-Bassat | CC BY-SA 3.0 |
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| Feb 25, 2013 at 20:14 | history | edited | user9072 |
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| Feb 25, 2013 at 20:01 | comment | added | Jérôme Poineau | I think that Francesco Baldassarri was interested by this kind of things recently. Maybe you should ask him. | |
| Feb 25, 2013 at 19:13 | history | asked | Oren Ben-Bassat | CC BY-SA 3.0 |