Effective constructions of separable quotients of Banach spaces.

Marek Wójtowicz

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 4-5-6, page 809-815
  • ISSN: 0010-0757

Abstract

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A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Banach spaces is presented. A large class of Banach lattices, possessing as a quotient c0, l1, l2, or a reflexive Banach space with an unconditional Schauder basis, is indicated.

How to cite

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Wójtowicz, Marek. "Effective constructions of separable quotients of Banach spaces.." Collectanea Mathematica 48.4-5-6 (1997): 809-815. <http://eudml.org/doc/41028>.

@article{Wójtowicz1997,
abstract = {A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Banach spaces is presented. A large class of Banach lattices, possessing as a quotient c0, l1, l2, or a reflexive Banach space with an unconditional Schauder basis, is indicated.},
author = {Wójtowicz, Marek},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Espacio reflexivo; Retículo de Banach; Base de Schauder; Espacio cociente; Sistema débil de subespacios; separable quotients; weakly countably determined (WCD) Banach spaces; Banach lattices; reflexive Banach space; unconditional Schauder basis},
language = {eng},
number = {4-5-6},
pages = {809-815},
title = {Effective constructions of separable quotients of Banach spaces.},
url = {http://eudml.org/doc/41028},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Wójtowicz, Marek
TI - Effective constructions of separable quotients of Banach spaces.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 809
EP - 815
AB - A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Banach spaces is presented. A large class of Banach lattices, possessing as a quotient c0, l1, l2, or a reflexive Banach space with an unconditional Schauder basis, is indicated.
LA - eng
KW - Espacios de Banach; Espacio reflexivo; Retículo de Banach; Base de Schauder; Espacio cociente; Sistema débil de subespacios; separable quotients; weakly countably determined (WCD) Banach spaces; Banach lattices; reflexive Banach space; unconditional Schauder basis
UR - http://eudml.org/doc/41028
ER -

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