P. Valettas

activity

20142025

most citedRandom version of Dvoretzky's theorem in

ℓ_{p}^{n}

24 citations · 36 across the 11 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.FA2015★ 1 cited

On Dvoretzky's theorem for subspaces of $L_{p}$

Grigoris Paouris, Petros Valettas

We prove that for any $2 < p < \infty$ and for every $n$ -dimensional subspace $X$ of $L_{p}$ , represented on $R^{n}$ , whose unit ball $B_{X}$ is in Lewis' position one has the follow…

math.FA2015★ 24 cited

Random version of Dvoretzky's theorem in $ℓ_{p}^{n}$

Grigoris Paouris, Petros Valettas, Joel Zinn

We study the dependence on $ε$ in the critical dimension $k (n, p, ε)$ for which one can find random sections of the $ℓ_{p}^{n}$ -ball which are $(1 + ε)$ -sp…

On Dvoretzky's theorem for subspaces of Lp​

Random version of Dvoretzky's theorem in ℓpn​

On Dvoretzky's theorem for subspaces of $L_{p}$

Random version of Dvoretzky's theorem in $ℓ_{p}^{n}$