Separating polynomials on Banach spaces.

R. Gonzalo; J. A. Jaramillo

Extracta Mathematicae (1997)

  • Volume: 12, Issue: 2, page 145-164
  • ISSN: 0213-8743

Abstract

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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.

How to cite

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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 -

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