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Article Dans Une Revue Acta Mathematica Hungarica Année : 2014

A Remark on The Geometry of Spaces of Functions with Prime Frequencies

Résumé

We prove that the space of continuous functions whose frequencies are products of $r$ powers of primes numbers, contains some complemented copies of $\ell_1$ hence is far from being isomorphic to the whole space of continuous functions, or to the disc algebra. Actually, our results are more general and may be written in some other frameworks, like the space $L^1$.
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hal-02572855 , version 1 (13-05-2020)

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Pascal Lefèvre, Etienne Matheron, Olivier Ramaré. A Remark on The Geometry of Spaces of Functions with Prime Frequencies. Acta Mathematica Hungarica, 2014, 143 (1), pp.75-80. ⟨10.1007/s10474-014-0408-2⟩. ⟨hal-02572855⟩
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