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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

0 votes
1 answer
91 views

References and updates on a $L^p$ Factorization theorem by Maurey

In the "Exposé XV" of the 1972-1973 of the Maurey-Schwartz Seminar of functional analysis ("Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans un espace $L^p(\Omega, \mu)$, $0<p \ …
4 votes
0 answers
146 views

When does an operator from $\ell_1$ to itself factor through $\ell_p$?

I would like to know whether a given operator from $\ell_1$ to itself, given by a matrix $A$, factors through $\ell_p$, for $p>1$.Does anyone know any references/results on this topic? I am specially …