$L^p$ version of a result by Rankin

Mathematics – Classical Analysis and ODEs

Scientific paper

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5 pages, Dvoretsky stuff included and added reference

Scientific paper

We extend a classical result by Rankin. We consider the
following question: given $n$ vectors $v_i$ in the ball of radius $R$ of an
infinite dimensional Banach space ${\cal B}$ with $d(v_i,v_j)\geq 1$, can we
bound the number $n$?

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