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arxiv: 1611.00622 · v1 · pith:GXDFF7EFnew · submitted 2016-11-02 · 🧮 math.FA

Factorization in SL^infty

classification 🧮 math.FA
keywords inftyfactorizationachievedbanachbourgainbypassdimensionaldirectly
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We show that the non-separable Banach space $SL^\infty$ is primary. This is achieved by directly solving the infinite dimensional factorization problem in $SL^\infty$. In particular, we bypass Bourgain's localization method.

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