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
β¦ LIBER β¦
On Rolle's theorem in infinite-dimensional Banach spaces
β Scribed by S. A. Shkarin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 480 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0001-4346
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