top
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.
Gonzalo, R., and Jaramillo, J. A.. "Separating polynomials on Banach spaces.." Extracta Mathematicae 12.2 (1997): 145-164. <http://eudml.org/doc/38525>.
@article{Gonzalo1997, abstract = {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.}, author = {Gonzalo, R., Jaramillo, J. A.}, journal = {Extracta Mathematicae}, keywords = {Espacios de Banach; Polinomios; Espacios separados; Espacio de Hilbert separable real; separating polynomial; spaces with symmetric basis; rearrangement invariant function spaces}, language = {eng}, number = {2}, pages = {145-164}, title = {Separating polynomials on Banach spaces.}, url = {http://eudml.org/doc/38525}, volume = {12}, year = {1997}, }
TY - JOUR AU - Gonzalo, R. AU - Jaramillo, J. A. TI - Separating polynomials on Banach spaces. JO - Extracta Mathematicae PY - 1997 VL - 12 IS - 2 SP - 145 EP - 164 AB - 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. LA - eng KW - Espacios de Banach; Polinomios; Espacios separados; Espacio de Hilbert separable real; separating polynomial; spaces with symmetric basis; rearrangement invariant function spaces UR - http://eudml.org/doc/38525 ER -