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Pré-Publication, Document De Travail Année : 2011

Unconditionality, Fourier multipliers and Schur multipliers

Résumé

Let $G$ be an infinite locally compact abelian group. If $X$ is Banach space, we show that if every bounded Fourier multiplier $T$ on $L^2(G)$ has the property that $T\ot Id_X$ is bounded on $L^2(G,X)$ then the Banach space $X$ is isomorphic to a Hilbert space. Moreover, if $1

Dates et versions

hal-00647335 , version 1 (01-12-2011)

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Cédric Arhancet. Unconditionality, Fourier multipliers and Schur multipliers. 2011. ⟨hal-00647335⟩
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