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arXiv · 1703.06316

On the linear polarization constants of finite dimensional spaces

Daniel Carando·Damián Pinasco·Jorge Tomás Rodríguez
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Abstract

We study the linear polarization constants of finite dimensional Banach spaces. We obtain the correct asymptotic behaviour of these constants for the spaces $\ell_p^d$: they behave as $\sqrt[p]{d}$ if $1\le p\le 2$ and as $\sqrt{d}$ if $2\le p<\infty$. For $p=\infty$ we get the asymptotic behavior up to a logarithmic factor

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Daniel Carando, Damián Pinasco, Jorge Tomás Rodríguez. 2017-03-18. On the linear polarization constants of finite dimensional spaces. https://arxiv.org/abs/1703.06316

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