An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pełczyński's Decomposition Method
Elói Medina Galego
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 273-282 / Harvested from The Polish Digital Mathematics Library

Inspired by Pełczyński's decomposition method in Banach spaces, we introduce the notion of Schroeder-Bernstein quadruples for Banach spaces. Then we use some Banach spaces constructed by W. T. Gowers and B. Maurey in 1997 to characterize them.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280231
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     author = {El\'oi Medina Galego},
     title = {An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pe\l czy\'nski's Decomposition Method},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {52},
     year = {2004},
     pages = {273-282},
     zbl = {1109.46010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-7}
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Elói Medina Galego. An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pełczyński's Decomposition Method. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 273-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-7/