Geodesic
Compactness and Almost Periodicity of Multipliers
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 58-62

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

The question as to the existence of nontrivial compact or weakly compact multipliers between spaces of functions on groups has been investigated for several years. Until now, however, no general method which is applicable to a large class of function spaces seems to be knownIn this paper we prove that the existence of nontrivial compact multipliers between Banach function spaces on which a group acts is related to the existence of nonzero almost periodic functions.
DOI : 10.4153/CMB-1983-010-9
Mots-clés : 43A22, 43A60 
Crombez, G. Compactness and Almost Periodicity of Multipliers. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 58-62. doi: 10.4153/CMB-1983-010-9
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[1] 1. Crombez, G. and Govaerts, W., Compact convolution operators between L(G)-spaces, Coll. Math. 39 (1978), 325-329. Google Scholar

[2] 2. Crombez, G. and Govaerts, W., Weakly compact convolution operators in L(G), Simon Stevin 52 (1978), 65-72. Google Scholar

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

[4] 4. Dutta, M. and Tewari, B., On multipliers of Segal algebras, Proc. Amer. Math. Soc. 72 (1978), 121-124. Google Scholar

[5] 5. Friedberg, S. H., Compact multipliers on Banach algebras, Proc. Amer. Math. Soc. 77 (1979), 210. Google Scholar

[6] 6. Kamowitz, H., On compact multipliers of Banach algebras, Proc. Amer. Math. Soc. 81 (1981), 79-80. Google Scholar

[7] 7. Krogstad, H. E., Multipliers of Segal algebras, Math. Scand. 38 (1976), 285-303. Google Scholar

[8] 8. Lau, A. T., Closed convex invariant subsets of L(G) , Trans. Amer. Math. Soc. 232 (1977), 131-142. Google Scholar

[9] 9. Loomis, L. H., The spectral characterization of a class of almost periodic functions, Annals of Math. 72 (1960), 362-368. Google Scholar

[10] 10. Racher, G., Beispiele von Segalalgebren auf kompakten Gruppen. Preprint. Google Scholar

[11] 11. Reiter, H., L-Algebras and Segal algebras, Springer-Verlag, Berlin (1971). Google Scholar

[12] 12. Ylinen, K., Characterizations of B(G) and B(G)∩AP(G) for locally compact groups, Proc. Amer. Math. Soc. 58 (1976), 151-157. Google Scholar

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