Karpatsʹkì Matematičnì Publìkacìï (Jan 2013)

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

  • O. M. Holubchak

DOI
https://doi.org/10.15330/cmp.3.1.34-39
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 investigate conditions under which the obtained spaces consist of analytic functions with domains in $\ell_{1}$. Some connections with abstract Fock spaces are established.