EUDML

Currently displaying 1 – 6 of 6

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Topologies On Spaces Of Continuous Multifunctions

G. Crombez — 1977

Publications de l'Institut Mathématique

Compact convolution operators between $L_{p} (G)$ -spaces

G. Crombez; W. Govaerts — 1978

Colloquium Mathematicae

Completely continuous multipliers from $L_{1} (G)$ into $L_{\infty} (G)$

G. Crombez; Willy Govaerts — 1984

Annales de l'institut Fourier

For a locally compact Hausdorff group $G$ we investigate what functions in $L_{\infty} (G)$ give rise to completely continuous multipliers $T_{g}$ from $L_{1} (G)$ into $L_{\infty} (G)$ . In the case of a metrizable group we obtain a complete description of such functions. In particular, for $G$ compact all $g$ in $L_{\infty} (G)$ induce completely continuous $T_{g}$ .