6533b854fe1ef96bd12ae767
RESEARCH PRODUCT
Symmetric and finitely symmetric polynomials on the spaces ℓ∞ and L∞[0,+∞)
T. V. VasylyshynPablo GalindoAndriy Zagorodnyuksubject
010101 applied mathematicsCombinatoricsMathematics::CombinatoricsLebesgue measureSymmetric polynomialGeneral Mathematics010102 general mathematics0101 mathematicsInvariant (mathematics)Bijection injection and surjection01 natural sciencesMathematicsdescription
We consider on the space l∞ polynomials that are invariant regarding permutations of the sequence variable or regarding finite permutations. Accordingly, they are trivial or factor through c0. The analogous study, with analogous results, is carried out on L∞[0,+∞), replacing the permutations of N by measurable bijections of [0,+∞) that preserve the Lebesgue measure.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-02-02 | Mathematische Nachrichten |