Positive definite distributions and normed spaces

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چکیده

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Positive definite distributions and normed spaces

We answer a question of Alex Koldobsky. We show that for each −∞< p < 2 and each n 3−p there is a normed space X of dimension n which embeds in Ls if and only if −n < s p. © 2011 Elsevier Inc. All rights reserved. MSC: 52A21

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2011

ISSN: 0001-8708

DOI: 10.1016/j.aim.2011.02.019