Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.

Asthagiri, Rajappa K.. "Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.." Extracta Mathematicae 6.2-3 (1991): 139-141. <http://eudml.org/doc/39936>.

@article{Asthagiri1991,
abstract = {In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-linear mappings from E1x E2x...x En to F on bounded sets coincides with the class LnWSC (E1,E2,...,En;F) of weakly sequentially continuous n-linear mappings if and only if for every Banach space F, each Banach space Ei for i = 1,2,...,n does not contain a copy of l1.},
author = {Asthagiri, Rajappa K.},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Espacios de funciones; Aplicaciones continuas; Teoría de la aproximación; joint sequential continuity; continuity on bounded sets; composition map; Banach space of compact linear operators on the Banach space},
language = {eng},
number = {2-3},
pages = {139-141},
title = {Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.},
url = {http://eudml.org/doc/39936},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Asthagiri, Rajappa K.
TI - Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 2-3
SP - 139
EP - 141
AB - In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-linear mappings from E1x E2x...x En to F on bounded sets coincides with the class LnWSC (E1,E2,...,En;F) of weakly sequentially continuous n-linear mappings if and only if for every Banach space F, each Banach space Ei for i = 1,2,...,n does not contain a copy of l1.
LA - eng
KW - Espacios de Banach; Espacios de funciones; Aplicaciones continuas; Teoría de la aproximación; joint sequential continuity; continuity on bounded sets; composition map; Banach space of compact linear operators on the Banach space
UR - http://eudml.org/doc/39936
ER -