Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces.

Santiago Díaz; Antonio Fernandez; Miguel Florencio; Pedro J. Paúl

Collectanea Mathematica (1992)

  • Volume: 43, Issue: 1, page 89-93
  • ISSN: 0010-0757

Abstract

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Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.

How to cite

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Díaz, Santiago, et al. "Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces.." Collectanea Mathematica 43.1 (1992): 89-93. <http://eudml.org/doc/41892>.

@article{Díaz1992,
abstract = {Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.},
author = {Díaz, Santiago, Fernandez, Antonio, Florencio, Miguel, Paúl, Pedro J.},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Espacios localmente compactos; Espacios de funciones medibles; Espacios de Köthe; Espacios vectoriales topológicos; barrelled perfect Köthe space of measurable functions; atomless finite Radon measure space; complemented copy of },
language = {eng},
number = {1},
pages = {89-93},
title = {Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces.},
url = {http://eudml.org/doc/41892},
volume = {43},
year = {1992},
}

TY - JOUR
AU - Díaz, Santiago
AU - Fernandez, Antonio
AU - Florencio, Miguel
AU - Paúl, Pedro J.
TI - Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces.
JO - Collectanea Mathematica
PY - 1992
VL - 43
IS - 1
SP - 89
EP - 93
AB - Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.
LA - eng
KW - Espacios de Banach; Espacios localmente compactos; Espacios de funciones medibles; Espacios de Köthe; Espacios vectoriales topológicos; barrelled perfect Köthe space of measurable functions; atomless finite Radon measure space; complemented copy of
UR - http://eudml.org/doc/41892
ER -

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