Geodesic
Reinventing Weak Barrelledness
Journal of convex analysis, Tome 24 (2017) no. 3, pp. 707-762
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

With scores of novel theorems / examples we establish a hierarchy of 16 barrelled-type properties, consolidating decades of work by dozens of authors, defining / motivating / displaying optimal results. We prove our display answers all 4.29 billion interrelational questions at a glance. We solve the countable enlargement problems for separable weak barrelledness, uniformly relax certain Valdivia hypotheses to a characterization, and show that the existence of measurable cardinals depends on which of two hypotheses is optimal for Dierolf's dense subspace theorem.
Classification : 46A08, 46A03, 03E55, 03E65
Mots-clés : l∞-barrelled, dual locally complete, primitive, optimal results, measurable cardinals, countable enlargements 
@article{JCA_2017_24_3_JCA_2017_24_3_a0,
     author = {S. A. Saxon and L. M. S\'anchez Ruiz},
     title = {Reinventing {Weak} {Barrelledness}},
     journal = {Journal of convex analysis},
     pages = {707--762},
     year = {2017},
     volume = {24},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a0/}
}
TY  - JOUR
AU  - S. A. Saxon
AU  - L. M. Sánchez Ruiz
TI  - Reinventing Weak Barrelledness
JO  - Journal of convex analysis
PY  - 2017
SP  - 707
EP  - 762
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a0/
ID  - JCA_2017_24_3_JCA_2017_24_3_a0
ER  - 
%0 Journal Article
%A S. A. Saxon
%A L. M. Sánchez Ruiz
%T Reinventing Weak Barrelledness
%J Journal of convex analysis
%D 2017
%P 707-762
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a0/
%F JCA_2017_24_3_JCA_2017_24_3_a0
S. A. Saxon; L. M. Sánchez Ruiz. Reinventing Weak Barrelledness. Journal of convex analysis, Tome 24 (2017) no. 3, pp. 707-762. http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a0/