Geodesic
Injective Banach lattices: a survey
Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 58-79

Voir la notice de l'article provenant de la source Math-Net.Ru

The work is aimed to survey recent results on injective Banach lattices, outline the Boolean-valued approach, and pose some open problems. The central idea of the investigation is the Boolean-valued transfer principle from $AL$-spaces to injective Banach lattices: Every injective Banach lattice is embedded into an appropriate Boolean-valued model, becoming an $AL$-space. To illustrate the method, a concrete description of injective Banach lattices similar to that of $AL$-spaces is presented and the isometric classification of injective Banach lattices is accomplished. 
@article{EMJ_2014_5_3_a3,
     author = {A. G. Kusraev},
     title = {Injective {Banach} lattices: a survey},
     journal = {Eurasian mathematical journal},
     pages = {58--79},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a3/}
}
TY  - JOUR
AU  - A. G. Kusraev
TI  - Injective Banach lattices: a survey
JO  - Eurasian mathematical journal
PY  - 2014
SP  - 58
EP  - 79
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a3/
LA  - en
ID  - EMJ_2014_5_3_a3
ER  - 
%0 Journal Article
%A A. G. Kusraev
%T Injective Banach lattices: a survey
%J Eurasian mathematical journal
%D 2014
%P 58-79
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a3/
%G en
%F EMJ_2014_5_3_a3
A. G. Kusraev. Injective Banach lattices: a survey. Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 58-79. http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a3/