Spreading sequences in JT

Tom 125 / 1997

Helga Fetter, Studia Mathematica 125 (1997), 57-66 DOI: 10.4064/sm-125-1-57-66

Streszczenie

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.

Autorzy

  • Helga Fetter

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