Timeline for Every norm-decreasing algebra morphism $L_1(G)\to\mathcal{B}(E)$ comes from a group representation
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 18, 2016 at 10:09 | vote | accept | ptf1 | ||
| Feb 17, 2016 at 22:02 | answer | added | Matthew Daws | timeline score: 2 | |
| Jan 6, 2016 at 1:16 | comment | added | ptf1 | @NarutakaOZAWA you mean that $\pi(e_i)$ converges (SOT) to the identity in $\mathcal{B}(E)$? Why is that? | |
| Dec 18, 2015 at 7:59 | comment | added | Narutaka OZAWA | If $A$ is a Banach algebra with a bounded approximate identity $(e_i)$, acting on a reflexive Banach space $E$, then any WOT limit point of $(e_i)_i$ is a projection onto (the closure of) $AE$. The approximate unit $(e_i)_i$ converges to $1$ in SOT on that space. | |
| Dec 18, 2015 at 0:15 | history | edited | Yemon Choi |
removed unnecessary haar-measure tag, added FA tag
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| Dec 18, 2015 at 0:10 | comment | added | Yemon Choi | My guess is that in (1), Matt was passing WLOG to a subnet such that the limit exists for all $s$, $x$ and $\mu$ (using compactness of bounded sets in the ultraweak topology) | |
| Dec 17, 2015 at 23:57 | comment | added | Yemon Choi | Calling @MatthewDaws ... | |
| Dec 16, 2015 at 23:47 | review | First posts | |||
| Dec 16, 2015 at 23:51 | |||||
| Dec 16, 2015 at 23:44 | history | asked | ptf1 | CC BY-SA 3.0 |