We prove the following new characterization of C p (Lipschitz) smoothness in Banach spaces. An infinite-dimensional Banach space X has a C p smooth (Lipschitz) bump function if and only if it has another C p smooth (Lipschitz) bump function f such that its derivative does not vanish at any point in
✦ LIBER ✦
Pareto Optimization in Infinite Dimensional Spaces: The Importance of Nuclear Cones
✍ Scribed by G. Isac
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 477 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0022-247X
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