Homomorphisms of the algebra of symmetric analytic functions on $\ell_1$

I.V. Chernega

doi:10.15330/cmp.6.2.394-398

Homomorphisms of the algebra of symmetric analytic functions on $\ell_1$

Authors

I.V. Chernega Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine

https://doi.org/10.15330/cmp.6.2.394-398

Keywords:

polynomials and analytic functions on Banach spaces, symmetric polynomials, spectra of algebras

Published online: 2014-12-28

Abstract

The algebra $\mathcal{H}_{bs}(\ell_1)$ of symmetric analytic functions of bounded type is investigated. In particular, we study continuity of some homomorphisms of the algebra of symmetric polynomials on $\ell_p$ and composition operators of the algebra of symmetric analytic functions. The paper contains several open questions.