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/