Open AccessHomomorphisms of the algebra of symmetric analytic functions on $\ell_1$
Author(s) -
Iryna Chernega
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.6.2.394-398
Subject(s) - mathematics , homomorphism , bounded function , algebra over a field , analytic function , pure mathematics , type (biology) , symmetric function , mathematical analysis , ecology , biology
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.