Algebras generated by special symmetric polynomials on $\ell_1$ | Zendy

Farah Jawad | Zendy; Hanna Karpenko | Zendy; Andriy Zagorodnyuk | Zendy

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Algebras generated by special symmetric polynomials on $\ell_1$

Author(s) -

Farah Jawad,

Hanna Karpenko,

Andriy Zagorodnyuk

Publication year - 2019

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.11.2.335-344

Subject(s) - mathematics , quotient , equivalence relation , equivalence (formal languages) , quotient algebra , combinatorics , infinity , discrete mathematics , algebra over a field , pure mathematics , mathematical analysis , algebra representation

Let $X$ be a weighted direct sum of infinity many copies of complex spaces $\ell_1\bigoplus \ell_1.$ We consider an algebra consisting of polynomials on $X$ which are supersymmetric on each term $\ell_1\bigoplus \ell_1.$ Point evaluation functionals on such algebra gives us a relation of equivalence `$\sim$u0027 on $X.$ We investigate the quotient set $X/\sim$ and show that under some conditions, it has a real topological algebra structure.

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