On embedding l1 as a complemented subspace of Orlicz vector valued function spaces.

Fernando Bombal Gordón

Revista Matemática de la Universidad Complutense de Madrid (1988)

  • Volume: 1, Issue: 1-2-3, page 13-17
  • ISSN: 1139-1138

Abstract

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Several conditions are given under which l1 embeds as a complemented subspace of a Banach space E if it embeds as a complemented subspace of an Orlicz space of E-valued functions. Previous results in Pisier (1978) and Bombal (1987) are extended in this way.

How to cite

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Bombal Gordón, Fernando. "On embedding l1 as a complemented subspace of Orlicz vector valued function spaces.." Revista Matemática de la Universidad Complutense de Madrid 1.1-2-3 (1988): 13-17. <http://eudml.org/doc/43246>.

@article{BombalGordón1988,
abstract = {Several conditions are given under which l1 embeds as a complemented subspace of a Banach space E if it embeds as a complemented subspace of an Orlicz space of E-valued functions. Previous results in Pisier (1978) and Bombal (1987) are extended in this way.},
author = {Bombal Gordón, Fernando},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacio de Orlicz; Espacios de Banach; Espacios de funciones vectoriales; Subespacios; complemented subspace of a Banach space; complemented subspace of an Orlicz space of E-valued functions},
language = {eng},
number = {1-2-3},
pages = {13-17},
title = {On embedding l1 as a complemented subspace of Orlicz vector valued function spaces.},
url = {http://eudml.org/doc/43246},
volume = {1},
year = {1988},
}

TY - JOUR
AU - Bombal Gordón, Fernando
TI - On embedding l1 as a complemented subspace of Orlicz vector valued function spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1988
VL - 1
IS - 1-2-3
SP - 13
EP - 17
AB - Several conditions are given under which l1 embeds as a complemented subspace of a Banach space E if it embeds as a complemented subspace of an Orlicz space of E-valued functions. Previous results in Pisier (1978) and Bombal (1987) are extended in this way.
LA - eng
KW - Espacio de Orlicz; Espacios de Banach; Espacios de funciones vectoriales; Subespacios; complemented subspace of a Banach space; complemented subspace of an Orlicz space of E-valued functions
UR - http://eudml.org/doc/43246
ER -

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