Iterated series and the Hellinger-Toeplitz Theorem

• Autores: Charles Swartz
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 1, 1992, págs. 167-173
• Idioma: inglés
• Títulos paralelos:
  • Series iteradas y el teorema de Hellinger-Toeplitz
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• Resumen

  • We show that an iterated double series condition due to Antosik implies the uniform convergence of the double series. An application of Antosik's condition is given to the derivation of a vector form of the Hellinger-Toeplitz theorem.