On essentially incomparable Banach spaces.

González, Manuel. "On essentially incomparable Banach spaces.." Extracta Mathematicae 6.2-3 (1991): 135-138. <http://eudml.org/doc/39935>.

@article{González1991,
abstract = {We introduce the concept of essentially incomparable Banach spaces, and give some examples. Then, for two essentially incomparable Banach spaces X and Y, we prove that a complemented subspace of the product X x Y is isomorphic to the product of a complemented subspace of X and a complemented subspace of Y. If, additionally, X and Y are isomorphic to their respective hyperplanes, then the group of invertible operators in X x Y is not connected. The results can be applied to some classical Banach spaces.},
author = {González, Manuel},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Espacios normados; Operadores lineales; Propiedad de Dunford-Pettis; Incomparabilidad},
language = {eng},
number = {2-3},
pages = {135-138},
title = {On essentially incomparable Banach spaces.},
url = {http://eudml.org/doc/39935},
volume = {6},
year = {1991},
}

TY - JOUR
AU - González, Manuel
TI - On essentially incomparable Banach spaces.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 2-3
SP - 135
EP - 138
AB - We introduce the concept of essentially incomparable Banach spaces, and give some examples. Then, for two essentially incomparable Banach spaces X and Y, we prove that a complemented subspace of the product X x Y is isomorphic to the product of a complemented subspace of X and a complemented subspace of Y. If, additionally, X and Y are isomorphic to their respective hyperplanes, then the group of invertible operators in X x Y is not connected. The results can be applied to some classical Banach spaces.
LA - eng
KW - Espacios de Banach; Espacios normados; Operadores lineales; Propiedad de Dunford-Pettis; Incomparabilidad
UR - http://eudml.org/doc/39935
ER -