[Banach] Abstract of a paper by Daniel Pellegrino

This is an announcement for the paper "An inclusion principle for general classes of nonlinear absolutely summing maps" by Daniel Pellegrino.

Abstract: The inclusion theorem for absolutely summing linear operators asserts that under certain assumptions on $p_{1},p_{2},q_{1}$ and $q_{2},$ every absolutely $(q_{1},p_{1})$-summing linear operator is also absolutely $(q_{2},p_{2}% )$-summing. In this note we obtain some variants of this result in a completely nonlinear setting.

Archive classification: math.FA

Remarks: 11 pages

Submitted from: dmpellegrino@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1006.0536

or

http://arXiv.org/abs/1006.0536