Timeline for Can you tell whether a space is Banach from the unit ball?
Current License: CC BY-SA 2.5
11 events
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Mar 3, 2011 at 4:42 | vote | accept | Jim Belk | ||
Mar 3, 2011 at 4:40 | vote | accept | Jim Belk | ||
Mar 3, 2011 at 4:42 | |||||
Mar 3, 2011 at 0:53 | comment | added | Bill Johnson | Then I have no idea what you are looking for, Jim. You should give some motivation for your question and explain what type of condition you want. From my perspective, from what you have written, what you have asked has already been over answered. | |
Mar 2, 2011 at 21:14 | comment | added | Jim Belk | It is very reasonable to argue that the restrictive nature of the question is wrong. Indeed, the point of view that I'm taking is very different from the usual perspective on such things. This is intentional -- I'm curious what can be said about completeness in this context, without any of the usual tools available. It's certainly possible that nothing very interesting can be said, in which case the question is not successful. | |
Mar 2, 2011 at 19:13 | history | edited | TaQ | CC BY-SA 2.5 |
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Mar 2, 2011 at 2:46 | history | edited | TaQ | CC BY-SA 2.5 |
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Mar 2, 2011 at 2:27 | history | edited | TaQ | CC BY-SA 2.5 |
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Mar 2, 2011 at 2:11 | history | edited | TaQ | CC BY-SA 2.5 |
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Mar 1, 2011 at 17:20 | comment | added | Bill Johnson | Actually this condition is necessary and sufficient for $B$ to be the unit ball of a space that is isometrically isomorphic to a dual Banach space. This is another exercise in books, IIRC. | |
Mar 1, 2011 at 12:48 | history | edited | TaQ | CC BY-SA 2.5 |
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Mar 1, 2011 at 12:37 | history | answered | TaQ | CC BY-SA 2.5 |