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 (2004)

  • Volume: 52, Issue: 3, page 273-282
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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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 52.3 (2004): 273-282. <http://eudml.org/doc/280231>.

@article{ElóiMedinaGalego2004,
abstract = {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.},
author = {Elói Medina Galego},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Pelczynski's decomposition method; Schroeder-Bernstein problem},
language = {eng},
number = {3},
pages = {273-282},
title = {An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pełczyński's Decomposition Method},
url = {http://eudml.org/doc/280231},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Elói Medina Galego
TI - An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pełczyński's Decomposition Method
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 3
SP - 273
EP - 282
AB - 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.
LA - eng
KW - Pelczynski's decomposition method; Schroeder-Bernstein problem
UR - http://eudml.org/doc/280231
ER -

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