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Absolutely summing operators revisited: new directions in the nonlinear theory
Adriano Thiago Bernardino, Daniel Pellegrino, Juan B. Seoane-Sepúlveda +1
In the last decades many authors have become interested in the study of multilinear and polynomial generalizations of families of operator ideals (such as, for instance, the ideal…
On cotype and a Grothendieck-type theorem for absolutely summing multilinear operators
A. Thiago Lopes Bernardino
A famous result due to Grothendieck asserts that every continuous linear operator from to is absolutely -summing. If however, it is very simp…
Some remarks on absolutely summing multilinear operators
Adriano Thiago L. Bernardino, Daniel Pellegrino
This short note has a twofold purpose: (i) to solve the question that motivates a recent paper of D. Popa on multilinear variants of Pietsch's composition theorem for absolutely su…
Remarks on cotype absolutely summing multilinear operators
A. Thiago L. Bernardino
In this short note we present some new results concerning cotype and absolutely summing multilinear operators.