Symmetric and finitely symmetric polynomials on the spaces    ℓ  ∞    and     L  ∞    [  0  ,  +  ∞  ) | Zendy

Galindo Pablo | Zendy; Vasylyshyn Taras | Zendy; Zagorodnyuk Andriy | Zendy

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Symmetric and finitely symmetric polynomials on the spaces ℓ ∞ and L ∞ [ 0 , + ∞ )

Author(s) -

Galindo Pablo,

Vasylyshyn Taras,

Zagorodnyuk Andriy

Publication year - 2018

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201700314

Subject(s) - bijection, injection and surjection , mathematics , invariant (physics) , pure mathematics , lebesgue measure , sequence (biology) , combinatorics , space (punctuation) , lebesgue integration , discrete mathematics , bijection , linguistics , philosophy , biology , mathematical physics , genetics

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 c 0 . The analogous study, with analogous results, is carried out onL ∞ [ 0 , + ∞ ) , replacing the permutations of N by measurable bijections of [ 0 , + ∞ ) that preserve the Lebesgue measure.

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