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
DOI: 10.5565/publmat_36192_12
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.