Spreading sequences in JT
Studia Mathematica, Tome 125 (1997) no. 1, pp. 57-66
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_125_1_57_66,
author = {Helga Fetter and },
title = {Spreading sequences in {JT}},
journal = {Studia Mathematica},
pages = {57--66},
year = {1997},
volume = {125},
number = {1},
doi = {10.4064/sm-125-1-57-66},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-57-66/}
}
Helga Fetter; . Spreading sequences in JT. Studia Mathematica, Tome 125 (1997) no. 1, pp. 57-66. doi: 10.4064/sm-125-1-57-66
Cité par Sources :