Email this article On a property of the Rademacher system and $\Lambda(2)$-spaces
- Authors: Astashkin S.V.1,2,3,4, Semenov E.M.5
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Affiliations:
- Samara National Research University
- Lomonosov Moscow State University
- Moscow Center for Fundamental and Applied Mathematics
- Bahçesehir University
- Voronezh State University
- Issue: Vol 215, No 3 (2024)
- Pages: 3-20
- Section: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/254270
- DOI: https://doi.org/10.4213/sm9922
- ID: 254270
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Abstract
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.
About the authors
Sergei Vladimirovich Astashkin
Samara National Research University; Lomonosov Moscow State University; Moscow Center for Fundamental and Applied Mathematics; Bahçesehir University
Author for correspondence.
Email: astash@ssau.ru
ORCID iD: 0000-0002-8239-5661
Doctor of physico-mathematical sciences, Professor
Evgenii Mikhailovich Semenov
Voronezh State University
Email: nadezhka_ssm@geophys.vsu.ru
Doctor of physico-mathematical sciences, Professor
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