Timeline for Limit for divergent sequences
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Feb 3, 2010 at 17:25 | comment | added | Andrew Stacey | I strongly suspect that this is the best that can be done. Judging by the answers to my questions on duals, any such functional will restrict to an algebraic functional on l^\infty, but in some axiomatic systems, that's the continuous dual and (again, in some axiomatic systems), that's l^1. So as there are some axiomatic systems that say "It can't be done" (modulo the difference between l^0 and c_0), then in any axiomatic system you aren't going to be able to "write it down". | |
Feb 2, 2010 at 16:40 | history | answered | Pete L. Clark | CC BY-SA 2.5 |