In this paper we survey some recent results concerning separating polynomials on real Banach spaces. By this we mean a polynomial which separates the origin from the unit sphere of the space, thus providing an analog of the separating quadratic form on Hilbert space.
@article{urn:eudml:doc:38525, title = {Separating polynomials on Banach spaces.}, journal = {Extracta Mathematicae}, volume = {12}, year = {1997}, pages = {145-164}, zbl = {0914.46017}, mrnumber = {MR1607181}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38525} }
Gonzalo, R.; Jaramillo, J. A. Separating polynomials on Banach spaces.. Extracta Mathematicae, Tome 12 (1997) pp. 145-164. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38525/