L^p version of a result by Rankin
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🧮 math.CA
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rankinresultballbanachboundclassicalconsiderdimensional
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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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