Publication Date:
2006-10-13
Description:
We characterise the 1-unconditional subsets $(mathrm{e}_{rc})_{(r,c) in I}$ of the set of elementary matrices in the Schatten–von-Neumann class $mathrm{S}^p$. The set of couples $I$ must be the set of edges of a bipartite graph without cycles of even length $4 lel le p$ 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 $mathrm{S}^p_I$ spanned by $(mathrm{e}_{rc})_{(r,c) in I}$ in $mathrm{S}^p$.
Print ISSN:
0024-6115
Electronic ISSN:
1460-244X
Topics:
Mathematics
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