On pairs of Banach spaces which are isomorphic to complemented subspaces of each other

Elói Medina Galego. "On pairs of Banach spaces which are isomorphic to complemented subspaces of each other." Colloquium Mathematicae 101.2 (2004): 279-287. <http://eudml.org/doc/283535>.

@article{ElóiMedinaGalego2004,
abstract = {We establish the existence of Banach spaces E and F isomorphic to complemented subspaces of each other but with $E^m ⊕ Fⁿ$ isomorphic to $E^\{p\} ⊕ F^q$, m, n, p, q ∈ ℕ, if and only if m = p and n = q.},
author = {Elói Medina Galego},
journal = {Colloquium Mathematicae},
keywords = {Pełczyński’s decomposition method; Schröder-Bernstein problem},
language = {eng},
number = {2},
pages = {279-287},
title = {On pairs of Banach spaces which are isomorphic to complemented subspaces of each other},
url = {http://eudml.org/doc/283535},
volume = {101},
year = {2004},
}

TY - JOUR
AU - Elói Medina Galego
TI - On pairs of Banach spaces which are isomorphic to complemented subspaces of each other
JO - Colloquium Mathematicae
PY - 2004
VL - 101
IS - 2
SP - 279
EP - 287
AB - We establish the existence of Banach spaces E and F isomorphic to complemented subspaces of each other but with $E^m ⊕ Fⁿ$ isomorphic to $E^{p} ⊕ F^q$, m, n, p, q ∈ ℕ, if and only if m = p and n = q.
LA - eng
KW - Pełczyński’s decomposition method; Schröder-Bernstein problem
UR - http://eudml.org/doc/283535
ER -