Copies of ’s uniformly in the spaces and
Dumitru Popa (2017)
Czechoslovak Mathematical Journal
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We study the presence of copies of ’s uniformly in the spaces and . By using Dvoretzky’s theorem we deduce that if is an infinite-dimensional Banach space, then contains -uniformly copies of ’s and contains -uniformly copies of ’s for all . As an application, we show that if is an infinite-dimensional Banach space then the spaces and are distinct, extending the well-known result that the spaces and are distinct.