González, Manuel and Gonzalo, Raquel and Jaramillo Aguado, Jesús Ángel (1999) Symmetric polynomials on rearrangement-invariant function spaces. Journal of the London Mathematical Society, 59 (2). pp. 681-697. ISSN 0024-6107
Official URL: http://jlms.oxfordjournals.org/content/59/2/681.full.pdf+html
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Rearrangement invariant spaces; symmetric spaces; symmetric polynomials;separating polynomial |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16733 |
| Deposited On: | 18 Oct 2012 12:41 |
| Last Modified: | 18 Oct 2012 12:41 |
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