Multi-Linear Measure Theory and the Grothendieck Factorization Theorem

Multilinear extensions of Grothendieck's theorem

“…In the seventies, several authors investigated multilinear extensions of Grothendieck's matrix Inequality (see, for instance, [2], [3], [19] and the references therein).…”

“…For some of these psumming multilinear operators a factorization result extending Pietsch DominationFactorization Theorem [5, Theorems 2.12 and 2.13] holds, but no multilinear version of Grothendieck's Theorem in terms of these operators is known, except for a special case presented in [2] (see also [11]). …”

Limit Orders and Multilinear Forms on $\ell_p$ Spaces

“…. , 2)-summing (see [5] and also [18, Corollary 2.5] for a formulation more akin to our approach). Using this fact we can give a following generalization of [7, Proposition 2.4] to any degree n ≥ 2.…”

Multiple Wiener-Ito integrals possessing a continuous extension

“…For more information and further references cf. [1,2,5,7]. In the remaining part of section 2 we present some specific results which are needed in the later sections.…”