Karpatsʹkì Matematičnì Publìkacìï (Jun 2011)

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

  • O. M. Holubchak

Journal volume & issue
Vol. 3, no. 1
pp. 34 – 39

Abstract

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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.