Another characterization of Haar subspaces

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Block bases of the Haar system as complemented subspaces of . . .

It is shown that the span of fa i h i b i e i g n i=1 , where fh i g is the Haar system in L p and fe i g the canonical basis of`p , is well isomorphic to a well complemented subspace of L p ; 2 < p < 1. As a consequence we get that there is a rearrangement of the (initial segments of the) Haar system in L p ; 2 < p < 1, any block basis of which is well isomorphic to a well complemented subspac...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 1975

ISSN: 0021-9045

DOI: 10.1016/0021-9045(75)90081-7