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Lipschitz continuity of triangular subnorms

✍ Scribed by Ghiselli Ricci, Roberto; Mesiar, Radko; Mesiarová-Zemánková, Andrea

Book ID
123494509
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
327 KB
Volume
240
Category
Article
ISSN
0165-0114

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📜 SIMILAR VOLUMES

Automatic Continuity of Lipschitz Algebr
Automatic Continuity of Lipschitz Algebras
✍ B. Pavlovic 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 980 KB

For a compact metric space \((K, d), \alpha \in(0,1]\) and \(f \in C(K)\), let \(p_{x}(f)=\) \(\sup \left\{|f(t)-f(s)| d(t, s)^{x}: t, s \in K\right\}\). The set \(\operatorname{Lip}_{x}(K, d)=\left\{f \in C(K): p_{x}(f)<\infty\right\}\) with the norm \(\|f\|_{x}=|f|_{\kappa}+p_{x}(f)\) is a Banach