# Ultrapowers of Köthe function spaces.

Collectanea Mathematica (1997)

- Volume: 48, Issue: 4-5-6, page 733-742
- ISSN: 0010-0757

## Access Full Article

top## Abstract

top## How to cite

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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.