This is an announcement for the paper "Abstract ideals of absolutely summing multilinear operators" by Daniel Pellegrino and Joedson Santos.
Abstract: This paper has a twofold purpose: to present an overview of the different multi-ideals that generalize the concept of absolutely summing operators 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.
Archive classification: math.FA
Remarks: 10 pages
Submitted from: dmpellegrino@gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1009.4807
or