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The value of certain pNA games through infinite-dimensional Banach spaces

✍ Scribed by Joseph James Sroka


Publisher
Springer-Verlag
Year
1993
Tongue
English
Weight
707 KB
Volume
22
Category
Article
ISSN
0020-7276

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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