Approximation theory and functional analysis share many common problems and points of contact. One of the areas of mutual interest is that of density results. In this paper we briefly survey various methods and results in this area starting from work of Weierstrass and Riesz, and extending to more recent times.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc64-0-14, author = {Allan Pinkus}, title = {Density methods and results in approximation theory}, journal = {Banach Center Publications}, volume = {65}, year = {2004}, pages = {173-192}, zbl = {1068.41011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc64-0-14} }
Allan Pinkus. Density methods and results in approximation theory. Banach Center Publications, Tome 65 (2004) pp. 173-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc64-0-14/