The Daugavet property for spaces of Lipschitz functions

Authors

  • Yevgen Ivakhno
  • Vladimir Kadets
  • Dirk Werner

DOI:

https://doi.org/10.7146/math.scand.a-15044

Abstract

For a compact metric space $K$ the space $\mathrm{Lip}(K)$ has the Daugavet property if and only if the norm of every $f \in \mathrm{Lip}(K)$ is attained locally. If $K$ is a subset of an $L_p$-space, $1<p<\infty$, this is equivalent to the convexity of $K$.

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Published

2007-12-01

Issue

Vol. 101 No. 2 (2007)

Section

Articles

How to Cite

[1]
Y. Ivakhno, V. Kadets, and D. Werner, “The Daugavet property for spaces of Lipschitz functions”, Math. Scand., vol. 101, no. 2, pp. 261–279, Dec. 2007, doi: 10.7146/math.scand.a-15044.