We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-11, author = {Valerio Capraro and Stefano Rossi}, title = {Banach spaces which embed into their dual}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {289-293}, zbl = {1247.46021}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-11} }
Valerio Capraro; Stefano Rossi. Banach spaces which embed into their dual. Colloquium Mathematicae, Tome 122 (2011) pp. 289-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-11/