Sharp coincidences for absolutely summing multilinear operators
Functional Analysis
2015-10-06 v1
Abstract
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.
Cite
@article{arxiv.1204.5411,
title = {Sharp coincidences for absolutely summing multilinear operators},
author = {Daniel Pellegrino},
journal= {arXiv preprint arXiv:1204.5411},
year = {2015}
}
Comments
This note is part of the author's thesis which is being written for the candidature to the position of Full Professor at Universidade Federal da Para\'{\i}ba, Brazil