Geodesic
Separated sequences in asymptotically uniformly convex Banach spaces
Sylvain Delpech 1
1 26 bis rue Xavier Privas 69008 Lyon, France
Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 123-125 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the unit sphere of every infinite-dimensional Banach space $X$ contains an $\alpha $-separated sequence, for every $0\alpha 1+ \overline {\delta }_X(1)$, where $\overline {\delta }_X$ denotes the modulus of asymptotic uniform convexity of $X$.
DOI : 10.4064/cm119-1-7
Keywords: prove unit sphere every infinite dimensional banach space contains alpha separated sequence every alpha overline delta where overline delta denotes modulus asymptotic uniform convexity

Sylvain Delpech  1

1 26 bis rue Xavier Privas 69008 Lyon, France 
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Sylvain Delpech. Separated sequences in asymptotically uniformly convex Banach spaces. Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 123-125. doi: 10.4064/cm119-1-7

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