Rademacher System in Symmetric Spaces Located “close” to L ∞

Sergey V. Astashkin
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Sergey V. Astashkin: Samara National Research University

Chapter Chapter 3 in The Rademacher System in Function Spaces, 2020, pp 49-91 from Springer

Abstract: Abstract In Chap. 2 , we have proved that in the case when a s.s. X contains the separable part G of the Orlicz space L N 2 , $$L_{N_2},$$ N 2 ( t ) = e t 2 − 1 , $$N_2(t)=e^{t^2}-1,$$ the Rademacher system is equivalent in X to the unit vector basis in ℓ 2.

Date: 2020
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DOI: 10.1007/978-3-030-47890-2_3

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