This is an announcement for the paper "The Daugavet property for spaces of Lipschitz functions" by Yevgen Ivakhno, Vladimir Kadets and Dirk Werner.
Abstract: For a compact metric space $K$ the space $\Lip(K)$ has the Daugavet property if and only if the norm of every $f \in \Lip(K)$ is attained locally. If $K$ is a subset of an $L_p$-space, $1<p<\infty$, this is equivalent to the convexity of~$K$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04; 46B25; 54E45
The source file(s), daugalip.tex: 46665 bytes, is(are) stored in gzipped form as 0509373.gz with size 15kb. The corresponding postcript file has gzipped size 75kb.
Submitted from: werner@math.fu-berlin.de
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