Geodesic
Module Homomorphisms of the Dual Modules of Convolution Banach Algebras
Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 180-185

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

Suppose that A is either the group algebra L1 (G) of a locally compact group G, or the Volterra algebra or a weighted convolution algebra with a regulated weight. We characterize: a) Module homomorphisms of A*, when A* is regarded an A** left Banach module with the Arens product, b) all the weak*-weak* continuous left multipliers of A**.
DOI : 10.4153/CMB-1992-026-8
Mots-clés : 43A22, 46H25. 
Ghahramani, F. Module Homomorphisms of the Dual Modules of Convolution Banach Algebras. Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 180-185. doi: 10.4153/CMB-1992-026-8
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[1] 1. Bade, W. G. and Dales, H. G., Norms and ideals in radical convolution algebras, J. Funct. Anal. 41(1981), 77–109. Google Scholar

[2] 2. Curtis, P. C. and Figa-Talamanca, A., Factorization theorems for Banach algebras. In: Function algebras, Proc. Int. Symps. on Function Algebras, Talman, 1965, Scott Foresman, Chicago, 1966. Google Scholar

[3] 3. Duncan, J. and Hosseiniun, S. A. R., The second dual of a Banach algebra, Proc. Royal Soc. Edinburgh, 84A(1979), 309–325. Google Scholar

[4] 4. Dunford, N. and Schwartz, J. T., Linear operators I, Wiley (1958), New York. Google Scholar

[5] 5. Ghahramani, F., Homomorphisms and derivations on weighted convolution algebras, J. London Math. Soc. (2) 21(1980), 149–161. Google Scholar

[6] 6. Ghahramani, F. and Lau, A. T., Isometric isomorphisms between the second conjugate algebras of group algebras, Bull. London Math. Soc. 20(1988), 342–344. Google Scholar

[7] 7. Ghahramani, F., Lau, A. T. and Losert, V., Isometric isomorphisms between Banach algebras related to locally compact groups, Trans. Amer. Math. Soc. (1) 321(1990), 273–283. Google Scholar

[8] 8. Hewitt, E. and Ross, K. A., Abstract harmonic Analysis, 1, Springer, Berlin, 1963. Google Scholar

[9] 9. Isik, N. and Pym, J. and A. Ùlger, The second dual of the group algebra of a compact group, J. London Math. Soc. 35(1987), 135–148. Google Scholar

[10] 10. Kamowitz, H. and Scheinberg, S., Derivations and automorphisms of L(0,1), Trans. Amer. Math. Soc. 135(1969), 415–427. Google Scholar

[11] 11. Lau, A. T., Operators which commute with convolutions on subspaces of L∞(G), Colloq. Math. 39(1978), 351–359. Google Scholar

[12] 12. Lau, A. T., Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups, Math. Proc. Camb. Phil. Soc. 99(1986), 273–283. Google Scholar

[13] 13. Lau, A. T. and Losert, V., On the second conjugate algebra of L (G) of a locally compact group, J. London Math. Soc. (2) 37(1988), 464–470. Google Scholar

[14] 14. Lau, A. T. and Pym, J., Concerning the second dual of the group algebra of a locally compact group, J. London Math. Soc. (2) 41(1990), 445–460. Google Scholar

[15] 15. Wendel, J. G., Left centralizers and isomorphisms of groups algebras, Pacific J. Math. 2(1952), 251–261. Google Scholar

[16] 16. Wong, J. C. S., Topologically stationary locally compact groups and amenability, Trans. Amer. Math. Soc. 144(1969), 351–363. Google Scholar

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