7 Jun
2010
7 Jun
'10
11:40 a.m.
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