Geodesic
Relative Projectivity of the Modules~$L_p$
Matematičeskie zametki, Tome 111 (2022) no. 1, pp. 93-106

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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. 
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     author = {N. T. Nemesh},
     title = {Relative {Projectivity} of the {Modules~}$L_p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {93--106},
     publisher = {mathdoc},
     volume = {111},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_1_a8/}
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N. T. Nemesh. Relative Projectivity of the Modules~$L_p$. Matematičeskie zametki, Tome 111 (2022) no. 1, pp. 93-106. http://geodesic.mathdoc.fr/item/MZM_2022_111_1_a8/