Completely continuous multipliers from into
Annales de l'Institut Fourier, Tome 34 (1984) no. 2, pp. 137-154
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For a locally compact Hausdorff group we investigate what functions in give rise to completely continuous multipliers from into . In the case of a metrizable group we obtain a complete description of such functions. In particular, for compact all in induce completely continuous .
Étant donné un groupe localement compact et séparé, nous étudions les fonctions de qui induisent des convoluteurs complètement continus de dans . Dans le cas d’un groupe métrisable nous obtenons une description complète de ces fonctions.
@article{AIF_1984__34_2_137_0,
author = {Crombez, G. and Govaerts, Willy},
title = {Completely continuous multipliers from $L_1(G)$ into $L_\infty (G)$},
journal = {Annales de l'Institut Fourier},
pages = {137--154},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {34},
number = {2},
year = {1984},
doi = {10.5802/aif.968},
mrnumber = {86b:43003},
zbl = {0518.42009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.968/}
}
TY - JOUR AU - Crombez, G. AU - Govaerts, Willy TI - Completely continuous multipliers from $L_1(G)$ into $L_\infty (G)$ JO - Annales de l'Institut Fourier PY - 1984 SP - 137 EP - 154 VL - 34 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://geodesic.mathdoc.fr/articles/10.5802/aif.968/ DO - 10.5802/aif.968 LA - en ID - AIF_1984__34_2_137_0 ER -
%0 Journal Article %A Crombez, G. %A Govaerts, Willy %T Completely continuous multipliers from $L_1(G)$ into $L_\infty (G)$ %J Annales de l'Institut Fourier %D 1984 %P 137-154 %V 34 %N 2 %I Institut Fourier %C Grenoble %U http://geodesic.mathdoc.fr/articles/10.5802/aif.968/ %R 10.5802/aif.968 %G en %F AIF_1984__34_2_137_0
Crombez, G.; Govaerts, Willy. Completely continuous multipliers from $L_1(G)$ into $L_\infty (G)$. Annales de l'Institut Fourier, Tome 34 (1984) no. 2, pp. 137-154. doi: 10.5802/aif.968
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