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

Extracta Mathematicae (1991)

- Volume: 6, Issue: 2-3, page 139-141
- ISSN: 0213-8743

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topAsthagiri, 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 -

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