Banach May 2014

banach@mathdept.okstate.edu

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Abstract of a paper by Rui F. Vigelis and Charles C. Cavalcante
by alspach＠math.okstate.edu 02 May '14

02 May '14

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(a)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

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Banach May 2014