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Precursors of the Tsirelson Construction
The FigielJohnson Construction of Tsirelsons Space
Block Basic Sequences in Tsirelsons Space
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admissible sum approximation property assume block basic sequence bounded operator calculated canonical unit vector Casazza Chapter choose complemented subspace constant construction contains cotype q crudely finitely representable define definition denote dimensional subspace disjointly supported vectors Enter vector exists a subspace F.D.D. of type finite dimensional fixed function Hence implies infinite-dimensional subspace integer Intermediate assignment isometry isomorphic Israel Journal Kent State University Lemma VII.a.1 Lindenstrauss linear linear span lp spaces m-norm MAXDIM natural numbers NextLevel norm iterations normalized block basic normalized unconditional basis Notes and Remarks o.oo o.oo o.oo OLDNORMS partplus permutation Pisier procedure ProcessVector projection Proof property H Proposition II.4 quotient space reflexive Schauder basis sequence of scalars sequence spaces stabilized Studia Mathematica subsets subvectors sumsgrow SumsOfNorms supp symmetric basis Theorem trace Tsirelson's space Tzafriri unit vector basis update UpdateNorm weak Hilbert space writeln