Email this article Topologically projective, injective and flat modules of harmonic analysis
- Authors: Nemesh N.T.1
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Affiliations:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Issue: Vol 211, No 10 (2020)
- Pages: 98-111
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/133354
- DOI: https://doi.org/10.4213/sm9342
- ID: 133354
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Abstract
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.
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About the authors
Norbert Tiborovich Nemesh
Lomonosov Moscow State University, Faculty of Mechanics and MathematicsCandidate of physico-mathematical sciences, no status
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