Geodesic
Group Algebra Modules. I
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 133-150

Voir la notice de l'article provenant de la source Cambridge University Press

Some time ago, J. G. Wendel proved that the operators on the group algebra L1(G) which commute with convolution correspond in a natural way to the measure algebra M(G) (13). One might ask if Wendel's theorem can be restated in a more general setting. It is this question that is the point of departure for our present paper. Let K be a Banach module over L1(G). Our interest is in operators from L1(G) into K, and from K into L∞(G), which commute with the module composition (where L∞(G) is thought of as a module over L1(G) also). Such operators we call (L1(G), K)- and (K, L∞(G))-homomorphisms, respectively. Investigations of various other kinds of module homomorphisms occur in A. Figà-Talamanca (6) and B. E. Johnson (9; 10). 
Gulick, S. L.; Liu, T. S.; Rooij, A. C. M. Van. Group Algebra Modules. I. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 133-150. doi: 10.4153/CJM-1967-008-4
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