Lipschitz Continuity of inf-Projections
β Scribed by Roger-B. J. Wets
- Book ID
- 110428873
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 132 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0926-6003
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A principal result of the paper is that if E is a symmetric Banach function space on the positive half-line with the Fatou property then, for all semifinite von Neumann algebras (M, {), the absolute value mapping is Lipschitz continuous on the associated symmetric operator space E(M, {) with Lipschi
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