[Banach] Abstract of a paper by Rui F. Vigelis and Charles C. Cavalcante

This is an announcement for the paper "Smoothness of the Orlicz Norm in Musielak-Orlicz Function Spaces" by Rui F. Vigelis and Charles C. Cavalcante.

Abstract: In this paper, we present a characterization of support functionals and smooth points in $L_{0}^{\Phi}$, the Musielak-Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of $L_{0}^{\Phi}$ is also obtained. Some expressions involving the norms of functionals in $(L_{0}^{\Phi})^{*}$, the topological dual of $L_{0}^{\Phi}$, are proved for arbitrary Musielak-Orlicz functions.

Archive classification: math.FA

Submitted from: rfvigelis@gmail.com

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

http://front.math.ucdavis.edu/1404.4306

or

http://arXiv.org/abs/1404.4306