Rademacher functions in BMO [Elektronisk resurs]

• The Rademacher sums are investigated in the BMO space on [0, 1]. They span an uncomplemented subspace, in contrast to the dyadic BMOd space on [0, 1], where they span a complemented subspace isomorphic to l2. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in BMO are studied and an analog of the Kadec-Pelczyński type alternative with l2 and c0 spaces is proved 

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