%0 Journal Article %A González, Manuel %A Gonzalo, Raquel %A Jaramillo Aguado, Jesús Ángel %T Symmetric polynomials on rearrangement-invariant function spaces %D 1999 %@ 0024-6107 %U https://hdl.handle.net/20.500.14352/57599 %X The exact representation of symmetric polynomials on Banach spaces with symmetric basis and also on separable rearrangement-invariant function spaces over [0, 1] and [0, infinity) is given. As a consequence of this representation it is obtained that, among these spaces, l(2n), L-2n[0, 1], L-2n[0, infinity) and L-2n[0, infinity) boolean AND L-2n[0, infinity) where n, nl are both integers are the only spaces that admit separating polynomials. %~