This is an announcement for the paper "The Daugavet property in the Musielak-Orlicz spaces" by Anna Kaminska and Damian Kubiak.

Abstract: We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_{\infty}$ and $L_1\oplus_{\infty} L_{\infty}$. We obtain in particular complete characterizations of the Daugavet property in the weighted interpolation spaces, the variable exponent Lebesgue spaces (Nakano spaces) and the Orlicz spaces.

Archive classification: math.FA

Mathematics Subject Classification: 46B20, 46E30, 47B38

Remarks: 20 pages. To appear in Journal of Mathematical Analysis and

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

http://front.math.ucdavis.edu/1502.02760

or

http://arXiv.org/abs/1502.02760