Timeline for Dual space of $\ell^\infty$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Nov 4 at 20:41 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Apr 19, 2018 at 12:43 | comment | added | Yemon Choi | @Idonknow It's an $\ell^1$-sum decomposition | |
| Apr 19, 2018 at 2:08 | comment | added | Idonknow | @YemonChoi: Can we put is a norm on the direct sum $c_0^{\perp} \oplus c_0^*?$ | |
| May 10, 2011 at 14:01 | comment | added | Martin Sleziak | Now I accidentaly stumbled upon the Hewitt-Yosida decomposition of a finitely additive measure into purely additive and $\sigma$-additive part. See e.g. books.google.com/… If I understand it correctly, after representing the functionals as finitely additive measures it is basically the same thing. It is sumarized nicely in Theorem 6.31 of Aliprantis-Border - the page is not viewable at google books, but you can find the claim here: thales.doa.fmph.uniba.sk/sleziak/texty/rozne/pozn/books/… | |
| Mar 22, 2011 at 23:03 | comment | added | Ravil Mudarisov | thanks. sometimes i think that the main aim of a students is to find that kinfd of questions and defects.) Good comment. | |
| Mar 22, 2011 at 19:27 | comment | added | Yemon Choi | +1 for finding the question that was supposed to be asked. (The proof is tantamount to showing that the dual of $c_0$ is $\ell_1$ and then saying that $\ell_\infty^* = c_0^\perp \oplus c_0^*$.) | |
| Mar 22, 2011 at 14:53 | vote | accept | Ravil Mudarisov | ||
| Mar 22, 2011 at 12:01 | vote | accept | Ravil Mudarisov | ||
| Mar 22, 2011 at 13:59 | |||||
| Mar 22, 2011 at 11:42 | history | edited | Martin Sleziak | CC BY-SA 2.5 |
added 196 characters in body; added 8 characters in body
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| Mar 22, 2011 at 11:26 | history | answered | Martin Sleziak | CC BY-SA 2.5 |