Sharp coincidences for absolutely summing multilinear operators

Details Sharp coincidences for absolutely summing multilinear operators Sharp coincidences for absolutely summing multilinear operators

2012-04-24

arxiv.org/abs/1204.5411v1

Mathematics

Functional Analysis

This note is part of the author's thesis which is being written for the candidature to the position of Full Professor at Unive

Scientific paper

In this note we prove the optimality of a family of known coincidence
theorems for absolutely summing multilinear operators. We connect our results
with the theory of multiple summing multilinear operators and prove the
sharpness of similar results obtained via the complex interpolation method.

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