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

I. V. Chernega

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.

Keywords


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

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