# On essentially incomparable Banach spaces.

Extracta Mathematicae (1991)

- Volume: 6, Issue: 2-3, page 135-138
- ISSN: 0213-8743

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topGonzález, 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 -

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