The characteristic of weak convergence on Banach sequence lattices.

Baoxiang Wang; Tingfu Wang

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 4-5-6, page 799-807
  • ISSN: 0010-0757

Abstract

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A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence lattices is obtained. As a direct application, a complete criterion of a weak convergence of sequences in l infinity is formulated.

How to cite

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Wang, Baoxiang, and Wang, Tingfu. "The characteristic of weak convergence on Banach sequence lattices.." Collectanea Mathematica 48.4-5-6 (1997): 799-807. <http://eudml.org/doc/41017>.

@article{Wang1997,
abstract = {A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence lattices is obtained. As a direct application, a complete criterion of a weak convergence of sequences in l infinity is formulated.},
author = {Wang, Baoxiang, Wang, Tingfu},
journal = {Collectanea Mathematica},
keywords = {Retículo de Banach; Convergencia débil; Series analíticas; weak convergence of sequences; Banach sequence lattices},
language = {eng},
number = {4-5-6},
pages = {799-807},
title = {The characteristic of weak convergence on Banach sequence lattices.},
url = {http://eudml.org/doc/41017},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Wang, Baoxiang
AU - Wang, Tingfu
TI - The characteristic of weak convergence on Banach sequence lattices.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 799
EP - 807
AB - A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence lattices is obtained. As a direct application, a complete criterion of a weak convergence of sequences in l infinity is formulated.
LA - eng
KW - Retículo de Banach; Convergencia débil; Series analíticas; weak convergence of sequences; Banach sequence lattices
UR - http://eudml.org/doc/41017
ER -

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