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.

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How to Cite
(1)
Chernega, I. Homomorphisms of the Algebra of Symmetric Analytic Functions on $\ell_1$. Carpathian Math. Publ. 2014, 6, 394-398.