Average of two extreme points in $JBW^{*}$-triples
Siddiqui, Akhlaq Ahmad
Proc. Japan Acad. Ser. A Math. Sci., Tome 83 (2007) no. 1, p. 176-178 / Harvested from Project Euclid
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H.Choda proved that every element in the closed unit ball of a von Neumann algebra is average of two extreme points of the ball. Here, we prove the strict generalisation of Choda’s result to arbitrary $JBW^{*}$-triples.
Publié le : 2007-09-15
Classification:  von Neumann algebra,  $JB^{*}$-algebra,  $JBW^{*}$-algebra,  $JBW^{*}$-triple,  Peirce decomposition,  extreme points,  17C65,  46H70,  46L10,  46L70,  17C27,  46K70 
@article{1201012601,
     author = {Siddiqui, Akhlaq Ahmad},
     title = {Average of two extreme points in $JBW^{*}$-triples},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {83},
     number = {1},
     year = {2007},
     pages = { 176-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1201012601}
}

Siddiqui, Akhlaq Ahmad. Average of two extreme points in $JBW^{*}$-triples. Proc. Japan Acad. Ser. A Math. Sci., Tome 83 (2007) no. 1, pp.  176-178. http://gdmltest.u-ga.fr/item/1201012601/