Unbounded symmetric analytic functions on ℓ1

• Iryna Chernega ^[1] ; Andriy Zagorodnyuk ^[2]
  1. [1] Ukrainian Academy of Sciences (Ukraine)
  2. [2] Vasyl Stefanyk Precarpathian National University (Ukraine)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 122, Nº 1, 2018, págs. 84-90
• Idioma: inglés
• DOI: 10.7146/math.scand.a-102082
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• Resumen

  • We show that each G-analytic symmetric function on an open set of ℓ1 is analytic and construct an example of a symmetric analytic function on ℓ1 which is not of bounded type.