Symmetric Polynomials on Rearrangement‐Invariant Function Spaces | Zendy

González Manuel | Zendy; Gonzalo Raquel | Zendy; Jaramillo Jesús Angel | Zendy

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Symmetric Polynomials on Rearrangement‐Invariant Function Spaces

Author(s) -

González Manuel,

Gonzalo Raquel,

Jaramillo Jesús Angel

Publication year - 1999

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610799007164

Subject(s) - mathematics , invariant (physics) , pure mathematics , separable space , banach space , representation (politics) , discrete mathematics , mathematical analysis , mathematical physics , politics , political science , law

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, ∞) is given. As a consequence of this representation it is obtained that, among these spaces, l 2 n , L 2 n [0, 1], L 2 n [0, ∞) and L 2 n [0, ∞)∩ L 2 m [0, ∞) where n , m are both integers are the only spaces that admit separating polynomials.

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