4 problems

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Superfluity of the finite matrix type hypothesis in the CSEP converse
Let $Z_1,Z_2,\ldots$ be reflexive separable operator spaces such that $(Z_1\oplus Z_2\oplus\cdots)_{c_0}$ has the completely separable extension property (CSEP). The finite matrix…
Conjectureopenextension-properties operator-spacesarXiv posted 2 days ago
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Finite matrix type conjecture for separable operator spaces with the CSEP
Let $Z$ be a separable operator space. The finite matrix type conjecture. If $Z$ has the completely separable extension property (CSEP), then $Z$ itself is of finite matrix type. H…
Conjectureopenextension-properties operator-spacesarXiv posted 2 days ago
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Benyamini–Lindenstrauss conjecture on $L_1$ -preduals with the CEP
Let $X$ be an $L_1$ -predual Banach space, and suppose that $X$ has the finite-CEP, meaning that every Lipschitz map from a subset of a metric space into $X$ with finite image admit…
Conjectureopenbanach-spaces extension-properties lipschitz-functionsarXiv posted 2 days ago
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The cyclic-socle necessity conjecture for the extension property
Cyclic-socle necessity conjecture. Having a cyclic socle is necessary, in general, for satisfying the property.
Conjectureopencoding-theory extension-properties module-theoryarXiv posted 2 days ago

Superfluity of the finite matrix type hypothesis in the CSEP converse