Spreading sequences in JT

Helga Fetter; B. Gamboa de Buen

ArticleOriginal scientific text

Title

Spreading sequences in JT

Authors ¹, ¹

Affiliations

Centro de Investigación en Matemáticas, Apartado Postal 402, 36000 Guanajuato, Guanajuato, México

Abstract

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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Title

Spreading sequences in JT

Affiliations

Abstract

Bibliography