Unconditional Basis and Gordon–Lewis Constants for Spaces of Polynomials

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Unconditionality in spaces of m-homogeneous polynomials (2005, methodology): “In [9] the authors undertake a systematic study of Dineen’s problem following a program originally initiated by Gordon and Lewis in [15].”
Unbounded Violation of Tripartite Bell Inequalities (2007, background): “(of Lemma 26) In [21] it is proven that the Gordon-Lewis constant gl(⊗(3)j=1, `2) ' d, which by duality [25, Prop.”
The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive (2009, background): “This and similar unconditional basis constants were studie d in [13], where it was established that S(m, n) is bounded from above and below by n m−1 2 times constants depending only on m.”
A new multilinear insight on Littlewood's 4/3-inequality (2009, methodology): “We will use a technique that was first considered in [7,13], later used in [16,17,23] and finally presented in its more general form in [14].”