Geodesic
Metric version of flatness and Hahn–Banach type theorems for normed modules over sequence algebras
A. Ya. Helemskii1
1 Faculty of Mechanics and Mathematics Moscow State University Moscow 119992, Russia
Studia Mathematica, Tome 206 (2011) no. 2, pp. 135-160

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce and study the metric or extreme versions of the notions of a flat and an injective normed module. The relevant definitions, in contrast with the standard known ones, take into account the exact value of the norm of the module. The main result gives a full characterization of extremely flat objects within a certain category of normed modules. As a corollary, some Hahn–Banach type theorems for normed modules are obtained.
DOI : 10.4064/sm206-2-3
Keywords: introduce study metric extreme versions notions flat injective normed module relevant definitions contrast standard known account exact value norm module main result gives full characterization extremely flat objects within certain category normed modules corollary hahn banach type theorems normed modules obtained

A. Ya. Helemskii 1

1 Faculty of Mechanics and Mathematics Moscow State University Moscow 119992, Russia 
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A. Ya. Helemskii. Metric version of flatness and Hahn–Banach type theorems for normed modules over sequence algebras. Studia Mathematica, Tome 206 (2011) no. 2, pp. 135-160. doi: 10.4064/sm206-2-3

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