Timeline for Invariant means on commutative magmas
Current License: CC BY-SA 3.0
6 events
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Dec 8, 2022 at 4:54 | comment | added | The Amplitwist |
The link to springerlink.com is broken. I'm also unable to find any snapshot saved on the Wayback Machine.
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Jun 5, 2011 at 23:45 | answer | added | Valerio Capraro | timeline score: 1 | |
Jun 5, 2011 at 14:46 | answer | added | user6976 | timeline score: 8 | |
Jun 5, 2011 at 13:28 | comment | added | Valerio Capraro | mmm.. following the classical proof word by word, it seems that associativity is necessary to prove that the natural action of the magma $M$ on the set $\mathcal M$ of probability measures on $M$ is commutative. Anyway, let me give the explicit example: $M=[-k,k]\subseteq \mathbb Z$ and $$ x\cdot y=\max(\min(x+y,k),-k) $$ Maybe in this case the existence of an invariant mean follows just from the fact that $M$ is finite. | |
Jun 5, 2011 at 13:04 | history | edited | Valerio Capraro | CC BY-SA 3.0 |
added 10 characters in body
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Jun 5, 2011 at 12:05 | history | asked | Valerio Capraro | CC BY-SA 3.0 |