Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras

A. Ya. Helemskii. "Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras." Studia Mathematica 206.2 (2011): 135-160. <http://eudml.org/doc/285533>.

@article{A2011,
abstract = {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.},
author = {A. Ya. Helemskii},
journal = {Studia Mathematica},
keywords = {extremely flat normed module; extremely injective normed module; homogeneous normed module},
language = {eng},
number = {2},
pages = {135-160},
title = {Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras},
url = {http://eudml.org/doc/285533},
volume = {206},
year = {2011},
}

TY - JOUR
AU - A. Ya. Helemskii
TI - Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras
JO - Studia Mathematica
PY - 2011
VL - 206
IS - 2
SP - 135
EP - 160
AB - 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.
LA - eng
KW - extremely flat normed module; extremely injective normed module; homogeneous normed module
UR - http://eudml.org/doc/285533
ER -