We introduce the class of Riesz-representable multilinear mappings on products of (Formula presented.) spaces for finite measures μ and give their main properties. We prove Grothendieck type theorems for composition with the natural operators (Formula presented.) and (Formula presented.). Unlike the linear case, the composition is not nuclear but is characterized by what we call the left integral (Formula presented.) -factorization property.
Riesz-representable multilinear mappings
Cilia R.;
2020-01-01
Abstract
We introduce the class of Riesz-representable multilinear mappings on products of (Formula presented.) spaces for finite measures μ and give their main properties. We prove Grothendieck type theorems for composition with the natural operators (Formula presented.) and (Formula presented.). Unlike the linear case, the composition is not nuclear but is characterized by what we call the left integral (Formula presented.) -factorization property.File in questo prodotto:
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