English

On nonlinear absolutely summing maps

Functional Analysis 2013-11-05 v2

Abstract

It is shown that the ultimate version of the nonlinear Pietsch Domination Theorem remains true, even in a stronger presentation, if one of its hypotheses is removed. More precisely, we show that no trace of (sub)-homogeneity assumption is needed. Some consequences are also presented.

Keywords

Cite

@article{arxiv.1307.6754,
  title  = {On nonlinear absolutely summing maps},
  author = {D. Pellegrino and J. B. Seoane-Sepulveda},
  journal= {arXiv preprint arXiv:1307.6754},
  year   = {2013}
}

Comments

This paper has been withdrawn by the authors due to a crucial gap

R2 v1 2026-06-22T00:57:49.394Z