Sur la classification de H. Bercovici, C. Foias et C. Pearcy concernant les algèbres duales
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AbstractFor all p ∈ N⧹{0,1} we prove the existence of singly generated dual algebŕas which satisfy the property (A1P), but which do not have property (A1P−1). Nevertheless, we show that we have rank one representation for the elements of an infinite-dimensional convex cone in the predual.

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