Unbounded symmetric analytic functions on $\ell_1$


  • Iryna Chernega
  • Andriy Zagorodnyuk




We show that each $G$-analytic symmetric function on an open set of $\ell _1$ is analytic and construct an example of a symmetric analytic function on $\ell _1$ which is not of bounded type.


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How to Cite

Chernega, I., & Zagorodnyuk, A. (2018). Unbounded symmetric analytic functions on $\ell_1$. MATHEMATICA SCANDINAVICA, 122(1), 84–90. https://doi.org/10.7146/math.scand.a-102082