Hilbert spaces of symmetric analytical functions on $ell_{1}$

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.

Bibliographic Details
Main Author: O. M. Holubchak
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2011-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/49/41