Geodesic
Topologically projective, injective and flat modules of harmonic analysis
Sbornik. Mathematics, Tome 211 (2020) no. 10, pp. 1447-1459

Voir la notice de l'article provenant de la source Math-Net.Ru

We study homologically trivial modules of harmonic analysis on a locally compact group $G$. For $L_1(G)$- and $M(G)$-modules $C_0(G)$, $L_p(G)$ and $M(G)$ we give criteria for metric and topological projectivity, injectivity and flatness. In most cases, modules with these properties must be finite-dimensional. Bibliography: 18 titles.
Keywords: Banach module, projectivity, injectivity, flatness, harmonic analysis. 
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     author = {N. T. Nemesh},
     title = {Topologically projective, injective and flat modules of harmonic analysis},
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     number = {10},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2020_211_10_a3/}
}
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N. T. Nemesh. Topologically projective, injective and flat modules of harmonic analysis. Sbornik. Mathematics, Tome 211 (2020) no. 10, pp. 1447-1459. http://geodesic.mathdoc.fr/item/SM_2020_211_10_a3/