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Spreading sequences in JT

Helga Fetter; B. Gamboa de Buen — 1997

Studia Mathematica

We prove that a normalized non-weakly null basic sequence in the James tree space JT admits a subsequence which is equivalent to the summing basis for the James space J. Consequently, every normalized basic sequence admits a spreading subsequence which is either equivalent to the unit vector basis of $l_{2}$ or to the summing basis for J.

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