Complemented and uncomplemented subspaces of Banach spaces.

Anatolij M. Plichko; David Yost

Extracta Mathematicae (2000)

  • Volume: 15, Issue: 2, page 335-371
  • ISSN: 0213-8743

Abstract

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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.

How to cite

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Plichko, Anatolij M., and Yost, David. "Complemented and uncomplemented subspaces of Banach spaces.." Extracta Mathematicae 15.2 (2000): 335-371. <http://eudml.org/doc/38635>.

@article{Plichko2000,
abstract = {Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.},
author = {Plichko, Anatolij M., Yost, David},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Subespacios K complementados; decomposable spaces; projectional resolution of the identity; separable complementation property; Corson compact; WCG spaces; complemented subspaces; Amir-Lindenstrauss theorem},
language = {eng},
number = {2},
pages = {335-371},
title = {Complemented and uncomplemented subspaces of Banach spaces.},
url = {http://eudml.org/doc/38635},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Plichko, Anatolij M.
AU - Yost, David
TI - Complemented and uncomplemented subspaces of Banach spaces.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 2
SP - 335
EP - 371
AB - Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.
LA - eng
KW - Espacios de Banach; Subespacios K complementados; decomposable spaces; projectional resolution of the identity; separable complementation property; Corson compact; WCG spaces; complemented subspaces; Amir-Lindenstrauss theorem
UR - http://eudml.org/doc/38635
ER -

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