scholarly journals A characterisation of the Daugavet property in spaces of Lipschitz functions

2018 ◽  
Vol 464 (1) ◽  
pp. 473-492 ◽  
Author(s):  
Luis García-Lirola ◽  
Antonín Procházka ◽  
Abraham Rueda Zoca
Keyword(s):  
Lipschitz Functions ◽  
Daugavet Property

scholarly journals Corrigendum to: The Daugavet property for spaces of Lipschitz functions

2009 ◽  
Vol 104 (2) ◽  
pp. 319 ◽  
Author(s):  
Yevgen Ivakhno ◽  
Vladimir Kadets ◽  
Dirk Werner
Keyword(s):  
Lipschitz Functions ◽  
Daugavet Property

Corrigendum to our paper The Daugavet property for spaces of Lipschitz functions, Math. Scand. 101 (2007), 261-279.

scholarly journals The Daugavet property for spaces of Lipschitz functions

2007 ◽  
Vol 101 (2) ◽  
pp. 261 ◽  
Author(s):  
Yevgen Ivakhno ◽  
Vladimir Kadets ◽  
Dirk Werner
Keyword(s):  
Metric Space ◽  
Lipschitz Functions ◽  
Compact Metric Space ◽  
Daugavet Property

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 $K$.

scholarly journals L-orthogonality, octahedrality and Daugavet property in Banach spaces

2021 ◽  
Vol 383 ◽  
pp. 107719
Author(s):  
Ginés López-Pérez ◽  
Abraham Rueda Zoca
Keyword(s):  
Banach Spaces ◽  
Daugavet Property

On two simple decompositions of Lipschitz functions

Optimization ◽  
2008 ◽  
Vol 57 (2) ◽  
pp. 249-261 ◽  
Author(s):  
S. Zlobec
Keyword(s):  
Lipschitz Functions

scholarly journals The polynomial Daugavet property for atomless L 1(μ)-spaces

2010 ◽  
Vol 94 (4) ◽  
pp. 383-389 ◽  
Author(s):  
Miguel Martín ◽  
Javier Merí ◽  
Mikhail Popov
Keyword(s):  
Daugavet Property
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