A remarkable rearrangement of the Haar system in 𝐿_{𝑝}

Müller, Paul; Schechtman, Gideon

doi:10.1090/S0002-9939-97-03860-4

A remarkable rearrangement of the Haar system in $L_p$
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by Paul F. X. Müller and Gideon Schechtman PDF

Proc. Amer. Math. Soc. 125 (1997), 2363-2371 Request permission

Abstract:

We introduce a non-standard but, to our opinion natural, order on the initial segments of the Haar system and investigate the isomorphic classification of the linear span, in $L_{p}$, of block bases, with respect to this order.

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