Quotients of L1 by reflexive subspaces.

Manuel González; Antonio Martínez-Abejón

Extracta Mathematicae (1997)

  • Volume: 12, Issue: 2, page 139-143
  • ISSN: 0213-8743

Abstract

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Here we present and example and some results suggesting that there is no infinite-dimensional reflexive subspace Z of L1 ≡ L1[0,1] such that the quotient L1/Z is isomorphic to a subspace of L1.

How to cite

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González, Manuel, and Martínez-Abejón, Antonio. "Quotients of L1 by reflexive subspaces.." Extracta Mathematicae 12.2 (1997): 139-143. <http://eudml.org/doc/38526>.

@article{González1997,
abstract = {Here we present and example and some results suggesting that there is no infinite-dimensional reflexive subspace Z of L1 ≡ L1[0,1] such that the quotient L1/Z is isomorphic to a subspace of L1.},
author = {González, Manuel, Martínez-Abejón, Antonio},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Espacio reflexivo; Operadores tauberianos},
language = {eng},
number = {2},
pages = {139-143},
title = {Quotients of L1 by reflexive subspaces.},
url = {http://eudml.org/doc/38526},
volume = {12},
year = {1997},
}

TY - JOUR
AU - González, Manuel
AU - Martínez-Abejón, Antonio
TI - Quotients of L1 by reflexive subspaces.
JO - Extracta Mathematicae
PY - 1997
VL - 12
IS - 2
SP - 139
EP - 143
AB - Here we present and example and some results suggesting that there is no infinite-dimensional reflexive subspace Z of L1 ≡ L1[0,1] such that the quotient L1/Z is isomorphic to a subspace of L1.
LA - eng
KW - Espacios de Banach; Espacio reflexivo; Operadores tauberianos
UR - http://eudml.org/doc/38526
ER -

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