[Banach] Abstract of a paper by Carlos H. Jimenez and Ignacio Villanueva

This is an announcement for the paper "Characterization of dual mixed volumes via polymeasures" by Carlos H. Jimenez and Ignacio Villanueva.

Abstract: We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated to it. To do this, we use tools from the theory of multilinear operators on spaces of continuos functions. Along the way we reprove, with these same techniques, a recently found characterization of the dual mixed volume.

Archive classification: math.FA

Submitted from: ignaciov@mat.ucm.es

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

http://front.math.ucdavis.edu/1408.6796

or

http://arXiv.org/abs/1408.6796