Abstract of a paper by Yevgen Ivakhno, Vladimir Kadets and Dirk Werner
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509373 or http://arXiv.org/abs/math.FA/0509373 or by email in unzipped form by transmitting an empty message with subject line uget 0509373 or in gzipped form by using subject line get 0509373 to: math@arXiv.org.
participants (1)
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Dale Alspach