This is an announcement for the paper "An integral formula for multiple summing norms of operators" by Daniel Carando, Veronica Dimant, Santiago Muro, and Damian Pinasco.

Abstract: We prove that the multiple summing norm of multilinear operators defined on some $n$-dimensional real or complex vector spaces with the $p$-norm may be written as an integral with respect to stables measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators.

Archive classification: math.FA

Mathematics Subject Classification: 15A69, 15A60, 47B10, 47H60, 46G25

Remarks: 19 pages

Submitted from: smuro@dm.uba.ar

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

http://front.math.ucdavis.edu/1503.01638

or

http://arXiv.org/abs/1503.01638