Comptes Rendus
no. 23-24
Functional Analysis/Dynamical Systems
On a Hölder covariant version of mean dimension
Presented by: Mikhaël Gromov
Antoine Gournay1
1Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1389-1392

Let Γ be a infinite countable group which acts naturally on ℓp(Γ). We introduce a modification of mean dimension which is an obstruction for ℓp(Γ) and ℓq(Γ) to be Hölder conjugates.

Soit Γ un groupe dénombrable infini qui agit naturellement sur ℓp(Γ). Nous introduisons une obstruction, proche de la dimension moyenne, au fait que ℓp(Γ) et ℓq(Γ) soit Hölder conjugués.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.10.014

Antoine Gournay  1

1 Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan 
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     title = {On a {H\"older} covariant version of mean dimension},
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Antoine Gournay. On a Hölder covariant version of mean dimension. Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1389-1392. doi: 10.1016/j.crma.2009.10.014

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[5] M. Tsukamoto Macroscopic dimension of the lp-ball with respect to the lq-norm, J. Math. Kyoto Univ., Volume 48 (2008) no. 2, pp. 445-454

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