Note on separately symmetric polynomials on the Cartesian product of ℓ1
Journal Title: Математичні Студії - Year 2018, Vol 50, Issue 2
Abstract
In the paper, we describe algebraic bases in algebras of separately symmetric polynomials which are defined on Cartesian products of n copies of ℓ1. Also, we describe spectra of algebras of entire functions, generated by these polynomials as Cartesian products of spectra of algebras of symmetric analytic functions of bounded type on ℓ1. Finally, we consider algebras of separately symmetric analytic functions of bounded type on infinite direct sums of copies of ℓ1. In particular, we show that there is a homomorphism from such algebra onto the algebra of all analytic functions of bounded type on a Banach space X with an unconditional basis.
Authors and Affiliations
F. Jawad
Keywords
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- EP ID EP525284
- DOI 10.15330/ms.50.2.204-210
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