Ultrapowers of Köthe function spaces.
Collectanea Mathematica (1997)
- Volume: 48, Issue: 4-5-6, page 733-742
- ISSN: 0010-0757
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topRaynaud, Yves. "Ultrapowers of Köthe function spaces.." Collectanea Mathematica 48.4-5-6 (1997): 733-742. <http://eudml.org/doc/40962>.
@article{Raynaud1997,
abstract = {The ultrapowers, relative to a fixed ultrafilter, of all the Köthe function spaces with non trivial concavity over the same measure space can be represented as Köthe function spaces over the same (enlarged) measure space. The existence of a uniform homeomorphism between the unit spheres of two such Köthe function spaces is reproved.},
author = {Raynaud, Yves},
journal = {Collectanea Mathematica},
keywords = {Espacios de Köthe; Concavidad; Espacio de medida; Ultraproductos; Homeomorfismos; ultrapowers; ultrafilter; Köthe function spaces},
language = {eng},
number = {4-5-6},
pages = {733-742},
title = {Ultrapowers of Köthe function spaces.},
url = {http://eudml.org/doc/40962},
volume = {48},
year = {1997},
}
TY - JOUR
AU - Raynaud, Yves
TI - Ultrapowers of Köthe function spaces.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 733
EP - 742
AB - The ultrapowers, relative to a fixed ultrafilter, of all the Köthe function spaces with non trivial concavity over the same measure space can be represented as Köthe function spaces over the same (enlarged) measure space. The existence of a uniform homeomorphism between the unit spheres of two such Köthe function spaces is reproved.
LA - eng
KW - Espacios de Köthe; Concavidad; Espacio de medida; Ultraproductos; Homeomorfismos; ultrapowers; ultrafilter; Köthe function spaces
UR - http://eudml.org/doc/40962
ER -
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