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Sharp coincidences for absolutely summing multilinear operators

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.

preprint2012arXivOpen access
Daniel Pellegrino
math.FA
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Daniel Pellegrino

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