Lack of Metric Projectivity, Injectivity, and Flatness for Modules $$L_p$$
In this paper, we demonstrate that for a locally compact Hausdorff space $$S$$ and a decomposable Borel measure $$\mu$$ , metric projectivity, injectivity, or flatness of the $$C_0(S)$$ -module $$L_p(S,\mu)$$ implies that $$\mu$$ is purely atomic with at most one atom.
Authors
- N. T. Nemesh (ORCID: https://orcid.org/0000-0002-5556-1740)
Institutions
- Lomonosov Moscow State University (RU)
Publication Details
- Journal
- Functional Analysis and Its Applications
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1134/s0016266324040038
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00