Session 4. Banach Spaces and Operator Theory with Applications

Factorization properties of multilinear operators

Enrique A. Sánchez Pérez, Instituto de Matemática Pura y Aplicada, Spain
We will discuss some recent works with Mieczysław Mastyło, concerning the domination and factorization theorems for multilinear operators. In particular we will present bilinear variants of the relevant result by Pisier on factorization of \((p,q)\)-summing operators through Lorentz spaces.

Supported by the Ministerio de Economía y Competitividad (Spain), #MTM2012-36740-C02-02.

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