English

Absolutely summing multilinear operators: a panorama

Functional Analysis 2015-10-02 v2

Abstract

This paper has a twofold purpose: to present an overview of the theory of absolutely summing operators and its different generalizations for the multilinear setting, and to sketch the beginning of a research project related to an objective search of \textquotedblleft perfect\textquotedblright \ multilinear extensions of the ideal of absolutely summing operators. The final section contains some open problems that may indicate lines for future investigation.

Keywords

Cite

@article{arxiv.1009.4807,
  title  = {Absolutely summing multilinear operators: a panorama},
  author = {Daniel Pellegrino and Joedson Santos},
  journal= {arXiv preprint arXiv:1009.4807},
  year   = {2015}
}

Comments

30 pages

R2 v1 2026-06-21T16:18:32.994Z