Separated sequences in uniformly convex Banach spaces
classification
🧮 math.FA
keywords
banachconvexdeltaseparateduniformlycontainsconvexityevery
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We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $\delta$ contains a $(1+\frac12\delta(\frac23))$-separated sequence.
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