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Article Dans Une Revue Proceedings of the London Mathematical Society Année : 2006

Cycles and 1-unconditional matrices

Résumé

We characterise the 1-unconditional subsequences of the canonical basis (e_rc) of elementary matrices in the Schatten-von-Neumann class S^p . The set I of couples (r,c) must be the set of edges of a bipartite graph without cycles of even length 4<=l<=p if p is an even integer, and without cycles at all if p is a positive real number that is not an even integer. In the latter case, I is even a Varopoulos set of V-interpolation of constant 1. We also study the metric unconditional approximation property for the space S^p_I spanned by (e_rc)_{(r,c)\in I} in S^p .

Dates et versions

hal-00473583 , version 1 (15-04-2010)

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Stefan Neuwirth. Cycles and 1-unconditional matrices. Proceedings of the London Mathematical Society, 2006, 93 (3), pp.761-790. ⟨10.1017/S0024611506015899⟩. ⟨hal-00473583⟩
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