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Algebras generated by special symmetric polynomials on $\ell_1$
- Source :
- Karpatsʹkì Matematičnì Publìkacìï, Vol 11, Iss 2, Pp 335-344 (2019)
- Publication Year :
- 2019
- Publisher :
- Vasyl Stefanyk Precarpathian National University, 2019.
-
Abstract
- 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 `$\sim$' on $X.$ We investigate the quotient set $X/\sim$ and show that under some conditions, it has a real topological algebra structure.
- Subjects :
- algebras of analytic functions on banach spaces
Pure mathematics
Topological algebra
Direct sum
lcsh:Mathematics
General Mathematics
media_common.quotation_subject
Structure (category theory)
Term (logic)
lcsh:QA1-939
Infinity
Statistics::Machine Learning
Symmetric polynomial
symmetric and supersymmetric polynomials on banach spaces
spectra algebras of analytic functions
Equivalence (measure theory)
Quotient
Mathematics
media_common
Subjects
Details
- ISSN :
- 23130210 and 20759827
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Carpathian Mathematical Publications
- Accession number :
- edsair.doi.dedup.....dd5ef213155f321cb945aaae24617b12