González, ManuelGonzalo, RaquelJaramillo Aguado, Jesús Ángel2023-06-202023-06-201999-040024-610710.1112/S0024610799007164https://hdl.handle.net/20.500.14352/57599The 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.journal articlehttp://jlms.oxfordjournals.org/content/59/2/681.full.pdf+htmlhttp://jlms.oxfordjournals.org/metadata only access517.982.27Rearrangement invariant spacessymmetric spacessymmetric polynomialsseparating polynomialAnálisis funcional y teoría de operadores