Articles

Absolutely summing multilinear operators: a panorama

Published in: Quaestiones Mathematicae
Volume 34 , issue 4 , 2011 , pages: 447–478

DOI: 10.2989/16073606.2011.640459

Author(s): Daniel Pellegrino* Departamento de Matemática, Brazil , Joedson Santos Departamento de Matemática, Brazil

Keywords: 46G25 , 47B10 , 47L20 , 47L22 , 46G25 , 47B10 , 47L20 , 47L22

Download full text Get new issue alerts

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 “perfect” multilinear extensions of the ideal of absolutely summing operators. The final sections contain some open problems that may indicate lines for future investigation.

« On the Urysohn number of a topological space

On the support of general local cohomology modules and filter regular sequences »