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Sharp uniform convexity and smoothness inequalities for trace norms

✍ Scribed by Keith Ball; Eric A. Carlen; Elliott H. Lieb


Book ID
105128164
Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
833 KB
Volume
115
Category
Article
ISSN
0020-9910

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Uniform convexity and the distribution o
✍ WanSoo Rhee; Michel Talagrand πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 371 KB

We show that if a Banach space E has a norm [I'll such that the modulus of uniform convexity is bounded below by a power function, then for each Gaussian measure # on E the distribition of the norm for # has a bounded density with respect to Lebesgue measure. This result is optimum in the following