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Matematicheskie Zametki, 2022, Volume 111, Issue 1, Pages 93–106
DOI: https://doi.org/10.4213/mzm12994 (Mi mzm12994) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Relative Projectivity of the Modules $L_p$

N. T. Nemesh

Lomonosov Moscow State University
Full-text PDF (546 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12994
Abstract: In the paper, criteria are given for the relative projectivity of the $L_p$-spaces regarded as left Banach modules over the algebra of bounded measurable functions ($1\le p\le+\infty$) and the algebra of continuous functions vanishing at infinity ($1\le p <+\infty$).
Keywords: projective module, $L_p$-space, normal measure, pseudocompact space.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00447
This work was supported by the Russian Foundation for Basic Research under grant 19-01-00447.
Received: 26.12.2020
Revised: 31.08.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 103–114
DOI: https://doi.org/10.1134/S0001434622010114
Bibliographic databases:
Document Type: Article
UDC: 517.986.22
Language: Russian
Citation: N. T. Nemesh, “Relative Projectivity of the Modules $L_p$”, Mat. Zametki, 111:1 (2022), 93–106; Math. Notes, 111:1 (2022), 103–114
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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