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On a property of the Rademacher system and Λ(2)-spaces

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2024

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Steklov Mathematical Institute of Russian Academy of Sciences

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The closed linear span of the Rademacher functions in L2 [0, 1] contains functions with arbitrarily large distribution, provided that the ratio of this distribution to the distribution of a standard normal variable tends to zero. A similar result is also obtained for some classes of Λ(2)-spaces. © 2024 Elsevier B.V., All rights reserved.

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