Karpatsʹkì Matematičnì Publìkacìï (Jun 2011)
Hilbert spaces of symmetric analytical functions on $ell_{1}$
Abstract
We consider completions of the space of symmetric polynomials on$ell_1$ with respect to some Hilbert norm and investigateconditions under which the obtained spaces consist of analyticfunctions with domains in $ell_1.$ Some connections with abstractFock spaces are established.