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Boundaries and complements of infinite- dimensional manifolds in the model space

✍ Scribed by Katsuro Sakai


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
855 KB
Volume
15
Category
Article
ISSN
0166-8641

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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