Absolutely summing multilinear operators: a panorama

Details Absolutely summing multilinear operators: a panorama Absolutely summing multilinear operators: a panorama

2010-09-24

arxiv.org/abs/1009.4807v2

Mathematics

Functional Analysis

30 pages

Scientific paper

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.

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